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Proofgold Asset

asset id
35a8b2a898b7fc92f01e8ea78e3e70edcd0b209e03b35c886d22edb7267161e0
asset hash
233041d8e255aa27902ba1ffd59c2dfd23c8243081c2ff6e2fc6dee19ccf98e4
bday / block
39322
tx
6a372..
preasset
doc published by Pr4zB..
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Param 91ca0.. : (ιιο) → ιιιιιιιιιο
Param 23b03.. : (ιιο) → ιιιιιιιιιο
Definition 00b44.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x062e18.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x049901.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0dc830.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0ed1c7.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0df50d.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0176ba.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x09f93b.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x091ca0.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x023b03.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param 496a0.. : (ιιο) → ιιιιιιιιιο
Param 2ffc8.. : (ιιο) → ιιιιιιιιιο
Param e8ba7.. : (ιιο) → ιιιιιιιιιο
Param b4c31.. : (ιιο) → ιιιιιιιιιο
Param 1a9c5.. : (ιιο) → ιιιιιιιιιο
Param bfd4f.. : (ιιο) → ιιιιιιιιιο
Param d0980.. : (ιιο) → ιιιιιιιιιο
Param bc2c6.. : (ιιο) → ιιιιιιιιιο
Definition 66709.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0496a0.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x02ffc8.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0e8ba7.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0b4c31.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x01a9c5.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0bfd4f.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0d0980.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0bc2c6.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param 06d7e.. : (ιιο) → ιιιιιιιιιο
Param b0749.. : (ιιο) → ιιιιιιιιιο
Param 87273.. : (ιιο) → ιιιιιιιιιο
Param b0e38.. : (ιιο) → ιιιιιιιιιο
Param f3db6.. : (ιιο) → ιιιιιιιιιο
Param 21189.. : (ιιο) → ιιιιιιιιιο
Definition aad31.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x01a9c5.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x006d7e.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0b0749.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0496a0.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x087273.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0b0e38.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0f3db6.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x021189.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param d0e7c.. : (ιιο) → ιιιιιιιιιο
Param f630d.. : (ιιο) → ιιιιιιιιιο
Param 9a66e.. : (ιιο) → ιιιιιιιιιο
Param 93f0f.. : (ιιο) → ιιιιιιιιιο
Param 2dac5.. : (ιιο) → ιιιιιιιιιο
Param 3fca5.. : (ιιο) → ιιιιιιιιιο
Param ef324.. : (ιιο) → ιιιιιιιιιο
Definition 4ee07.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0d0e7c.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0f630d.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x09a66e.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x093f0f.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x02dac5.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0bfd4f.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x03fca5.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0ef324.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param c4d5c.. : (ιιο) → ιιιιιιιιιο
Param dcb32.. : (ιιο) → ιιιιιιιιιο
Param d3618.. : (ιιο) → ιιιιιιιιιο
Param dbf71.. : (ιιο) → ιιιιιιιιιο
Param e37fb.. : (ιιο) → ιιιιιιιιιο
Param 78a44.. : (ιιο) → ιιιιιιιιιο
Param af5b6.. : (ιιο) → ιιιιιιιιιο
Definition ba478.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0c4d5c.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0dcb32.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0d3618.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0dbf71.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0e37fb.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x078a44.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0af5b6.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param a7e88.. : (ιιο) → ιιιιιιιιιο
Param 59632.. : (ιιο) → ιιιιιιιιιο
Param 79ee1.. : (ιιο) → ιιιιιιιιιο
Param f6312.. : (ιιο) → ιιιιιιιιιο
Param fa2d0.. : (ιιο) → ιιιιιιιιιο
Definition a1298.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x078a44.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0c4d5c.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0a7e88.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x059632.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x079ee1.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0f6312.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0fa2d0.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param dd43e.. : (ιιο) → ιιιιιιιιιο
Param 4818f.. : (ιιο) → ιιιιιιιιιο
Param 4d3d7.. : (ιιο) → ιιιιιιιιιο
Param a1497.. : (ιιο) → ιιιιιιιιιο
Param 4086f.. : (ιιο) → ιιιιιιιιιο
Definition 0d367.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0dd43e.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x04818f.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x04d3d7.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0a1497.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x04086f.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param 44916.. : (ιιο) → ιιιιιιιιιο
Param 8acce.. : (ιιο) → ιιιιιιιιιο
Param b47d4.. : (ιιο) → ιιιιιιιιιο
Param 74622.. : (ιιο) → ιιιιιιιιιο
Param 0788d.. : (ιιο) → ιιιιιιιιιο
Definition 5963b.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x044916.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x08acce.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0b47d4.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x074622.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x00788d.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param fa661.. : (ιιο) → ιιιιιιιιιο
Param 255f4.. : (ιιο) → ιιιιιιιιιο
Param c8a3f.. : (ιιο) → ιιιιιιιιιο
Definition 0a634.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x074622.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0fa661.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x044916.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0255f4.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0c8a3f.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param 2bad0.. : (ιιο) → ιιιιιιιιιο
Definition 2feec.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x00788d.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x02bad0.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0fa661.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x044916.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0c8a3f.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param d2e51.. : (ιιο) → ιιιιιιιιιο
Param 76e3a.. : (ιιο) → ιιιιιιιιιο
Param 9eede.. : (ιιο) → ιιιιιιιιιο
Param ba960.. : (ιιο) → ιιιιιιιιιο
Param 74a95.. : (ιιο) → ιιιιιιιιιο
Definition 465a4.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0d2e51.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x076e3a.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x09eede.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0ba960.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x074a95.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param 59a16.. : (ιιο) → ιιιιιιιιιο
Param 94f0c.. : (ιιο) → ιιιιιιιιιο
Param 923e2.. : (ιιο) → ιιιιιιιιιο
Param 1b69c.. : (ιιο) → ιιιιιιιιιο
Param cec27.. : (ιιο) → ιιιιιιιιιο
Definition 24cfd.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x059a16.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x094f0c.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0923e2.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x01b69c.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0cec27.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param 889b5.. : (ιιο) → ιιιιιιιιιο
Param 71ae3.. : (ιιο) → ιιιιιιιιιο
Param df026.. : (ιιο) → ιιιιιιιιιο
Param 6bc75.. : (ιιο) → ιιιιιιιιιο
Param 43a9d.. : (ιιο) → ιιιιιιιιιο
Definition 216e5.. := λ x0 . λ x1 : ι → ι → ο . ∀ x2 : ο . (∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0889b5.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x071ae3.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0df026.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x06bc75.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)(∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x043a9d.. x1 x3 x4 x5 x6 x7 x8 x9 x10 x11x2)x2
Param 4402e.. : ι(ιιο) → ο
Param cf2df.. : ι(ιιο) → ο
Param SubqSubq : ιιο
Param setminussetminus : ιιι
Param SingSing : ιι
Param 5bab1.. : ι(ιιο) → ο
Known 70d6f.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x34006a.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 5e8a4.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3fc090.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 629c2.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x307c0f.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 58605.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x00076f.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Known 176e1.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3adf05.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 13c6c.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3d5d69.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 158a2.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x33f98b.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 0a416.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x396c31.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 3d567.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x354c7d.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known be036.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3130d9.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 6110e.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x34e6fe.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 1b89c.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3a62c3.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known bf274.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3ceccf.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known d3d64.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3eb506.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 79b20.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x370755.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 86d7f.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x397793.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 4ee2c.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3aa64f.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 53ca8.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x383aec.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 7cfa2.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3446f4.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 75ae5.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3496a0.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 774bc.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x32ffc8.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 128ce.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3e8ba7.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 22120.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3b4c31.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known d08d7.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x31a9c5.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 8fa6b.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3bfd4f.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 9ce91.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3d0980.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 09417.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3bc2c6.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem a96e6.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)66709.. x3 x15bab1.. x0 x1 (proof)
Known e9a54.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x306d7e.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 947d7.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3b0749.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known aafc2.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x387273.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known e0719.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3b0e38.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known f1358.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3f3db6.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 7c096.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x321189.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem b2758.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)aad31.. x3 x15bab1.. x0 x1 (proof)
Known 54a2e.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3d0e7c.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 94de4.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3f630d.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known b25e2.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x39a66e.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 7cd66.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x393f0f.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known e2134.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x32dac5.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 9cd37.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x33fca5.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 4cb2c.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3ef324.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem 2a1d3.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)4ee07.. x3 x15bab1.. x0 x1 (proof)
Known 6e509.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3c4d5c.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 3a774.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3dcb32.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 50ee3.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3d3618.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 7f4ca.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3dbf71.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 08f06.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3e37fb.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known e60b6.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x378a44.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 5614a.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3af5b6.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem 71ca2.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)ba478.. x3 x15bab1.. x0 x1 (proof)
Known be44a.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3a7e88.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 91261.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x359632.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known a8ec7.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x379ee1.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 12f92.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3f6312.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known ddb03.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3fa2d0.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem 433c5.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)a1298.. x3 x15bab1.. x0 x1 (proof)
Known 1811c.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3dd43e.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 151a9.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x34818f.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known f5518.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x34d3d7.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 3bafe.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3a1497.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known e039f.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x34086f.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem 912e2.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)0d367.. x3 x15bab1.. x0 x1 (proof)
Known eee35.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x344916.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known b0add.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x38acce.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 86e3f.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3b47d4.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 238e3.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x374622.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known b2a43.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x30788d.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem 1569d.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)5963b.. x3 x15bab1.. x0 x1 (proof)
Known 385f8.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3fa661.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known cc30c.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x0255f4.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Known b44d9.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x0c8a3f.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Theorem 5045a.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)0a634.. x3 x15bab1.. x0 x1 (proof)
Known 5cc37.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x32bad0.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem 33195.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)2feec.. x3 x15bab1.. x0 x1 (proof)
Known 075bf.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3d2e51.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known e79db.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x076e3a.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Known efeff.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x39eede.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known d50d0.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3ba960.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 472a0.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x374a95.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem a98e6.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)465a4.. x3 x15bab1.. x0 x1 (proof)
Known 8ef8b.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x359a16.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 49ae6.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x394f0c.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known b1e02.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3923e2.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Known 732af.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x01b69c.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Known 0f029.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)∀ x4 . x4x3∀ x5 . x5x3∀ x6 . x6x3∀ x7 . x7x3∀ x8 . x8x3∀ x9 . x9x3∀ x10 . x10x3∀ x11 . x11x3∀ x12 . x12x3cec27.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x125bab1.. x0 x1
Theorem 9abc1.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)24cfd.. x3 x15bab1.. x0 x1 (proof)
Known 46936.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x0889b5.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Known 84c45.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x071ae3.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Known eb420.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x0df026.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Known 0c026.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x06bc75.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Known 02ebd.. : ∀ x0 x1 . ∀ x2 : ι → ι → ο . (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)4402e.. x1 x2cf2df.. x1 x2∀ x3 . x3x1x0setminus x1 (Sing x3)∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x043a9d.. x2 x4 x5 x6 x7 x8 x9 x10 x11 x12∀ x13 : ο . x13
Theorem 0d183.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)4402e.. x0 x1cf2df.. x0 x1∀ x2 . x2x0∀ x3 . x3setminus x0 (Sing x2)216e5.. x3 x1∀ x4 : ο . x4 (proof)