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PrMwW../148c6.. 6.12 barsTMQzr../e09cc.. ownership of f3b1b.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0TMK4t../f6249.. ownership of b5324.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0PUTbn../d545a.. doc published by Pr4zB..Param 2bd79.. : (ι → ι → ο) → ι → ι → ι → ι → ι → ι → ι → οKnown 3f65f.. : ∀ 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 x5 x4 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 f3b1b.. : ∀ 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 x5 x4 x6 x8 x7 (proof) |
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