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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιιο be given.
Assume H0: ∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2.
Assume H1: 4402e.. x0 x1.
Assume H2: cf2df.. x0 x1.
Let x2 of type ι be given.
Assume H3: x2x0.
Let x3 of type ι be given.
Assume H4: x3setminus x0 (Sing x2).
Claim L5: ...
...
Let x4 of type ι be given.
Assume H6: x4x3.
Let x5 of type ι be given.
Assume H7: x5x3.
Let x6 of type ι be given.
Assume H8: x6x3.
Let x7 of type ι be given.
Assume H9: x7x3.
Let x8 of type ι be given.
Assume H10: x8x3.
Let x9 of type ι be given.
Assume H11: x9x3.
Let x10 of type ι be given.
Assume H12: x10x3.
Assume H13: 2bd79.. x1 x4 x5 x6 x7 x8 x9 x10.
Let x11 of type ο be given.
Assume H14: ∀ x12 . x12x0∀ x13 . x13x0∀ x14 . x14x0∀ x15 . x15x0∀ x16 . x16x0∀ x17 . x17x0∀ x18 . x18x0∀ x19 . x19x0372ed.. x1 x12 x13 x14 x15 x16 x17 x18 x19x11.
Assume H15: ∀ x12 . x12x0∀ x13 . x13x0∀ x14 . x14x0∀ x15 . x15x0∀ x16 . x16x0∀ x17 . x17x0∀ x18 . x18x0∀ x19 . x19x03b695.. x1 x12 x13 x14 x15 x16 x17 x18 x19x11.
Assume H16: ∀ x12 . x12x0∀ x13 . x13x0∀ x14 . x14x0∀ x15 . x15x0∀ x16 . x16x0∀ x17 . x17x0∀ x18 . x18x0∀ x19 . x19x0f7c3d.. x1 x12 x13 x14 x15 x16 x17 x18 x19x11.
Assume H17: ∀ x12 . x12x0∀ x13 . x13x0∀ x14 . x14x0∀ x15 . x15x0∀ x16 . x16x0∀ x17 . x17x0∀ x18 . x18x0∀ x19 . x19x0389f9.. x1 x12 x13 x14 x15 x16 x17 x18 x19x11.
Assume H18: ∀ x12 . ...∀ x13 . ...∀ x14 . ...∀ x15 . ...∀ x16 . x16...∀ x17 . x17x0∀ x18 . x18x0∀ x19 . x19x0b1cc0.. x1 x12 x13 x14 x15 x16 x17 x18 x19x11.
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