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PrFdp../55c83.. 25.00 barsTMPtG../8c8da.. ownership of 10795.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0TMUkm../8345e.. ownership of f4eb5.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0PUb6V../2d514.. doc published by Pr4zB..Param 468d8.. : (ι → ι → ο) → ι → ι → ι → ι → ι → ι → ι → οKnown b77d5.. : ∀ 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 ⟶ 468d8.. x1 x2 x3 x4 x5 x6 x7 x8 ⟶ 468d8.. x1 x2 x3 x5 x4 x6 x7 x8Known 0021e.. : ∀ 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 ⟶ 468d8.. x1 x2 x3 x4 x5 x6 x7 x8 ⟶ 468d8.. x1 x2 x3 x4 x5 x7 x6 x8Theorem 10795.. : ∀ 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 ⟶ 468d8.. x1 x2 x3 x4 x5 x6 x7 x8 ⟶ 468d8.. x1 x2 x3 x5 x4 x7 x6 x8 (proof) |
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