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PrAwE../d27c1.. 25.00 barsTMZwt../f24b5.. ownership of 178b1.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0TMcQR../7d596.. ownership of 166fc.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0PUThB../edbc8.. doc published by Pr4zB..Param e4c05.. : (ι → ι → ο) → ι → ι → ι → ι → ι → ι → ι → ι → οKnown efcc9.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 x3 ⟶ x1 x3 x2) ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ e4c05.. x1 x2 x3 x4 x5 x6 x7 x8 x9 ⟶ e4c05.. x1 x2 x4 x3 x5 x6 x7 x8 x9Known f033d.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 x3 ⟶ x1 x3 x2) ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ e4c05.. x1 x2 x3 x4 x5 x6 x7 x8 x9 ⟶ e4c05.. x1 x2 x3 x4 x5 x6 x8 x7 x9Theorem 178b1.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 x3 ⟶ x1 x3 x2) ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ e4c05.. x1 x2 x3 x4 x5 x6 x7 x8 x9 ⟶ e4c05.. x1 x2 x4 x3 x5 x6 x8 x7 x9 (proof) |
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