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PrL54../97a8c.. 24.97 barsTMYZa../f05cc.. ownership of a3e5e.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0TMLpA../08918.. ownership of 56cc6.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0PUexv../8c6f4.. doc published by Pr4zB..Param 2bd79.. : (ι → ι → ο) → ι → ι → ι → ι → ι → ι → ι → οKnown 6b663.. : ∀ 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 ⟶ 2bd79.. x1 x2 x3 x4 x5 x6 x7 x8 ⟶ 2bd79.. x1 x2 x4 x5 x3 x6 x7 x8Known 579a7.. : ∀ 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 ⟶ 2bd79.. x1 x2 x3 x4 x5 x6 x7 x8 ⟶ 2bd79.. x1 x2 x3 x4 x5 x6 x8 x7Theorem a3e5e.. : ∀ 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 ⟶ 2bd79.. x1 x2 x3 x4 x5 x6 x7 x8 ⟶ 2bd79.. x1 x2 x4 x5 x3 x6 x8 x7 (proof) |
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