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Pr3UG../e049d.. 12.35 barsTMTsU../62e6d.. ownership of cc4c2.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0TMQnR../596fe.. ownership of 8b169.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0PUQ8A../5d0f6.. doc published by Pr4zB..Param c1515.. : (ι → ι → ο) → ι → ι → ι → ι → ι → ι → ι → ι → οKnown 4730e.. : ∀ 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 ⟶ c1515.. x1 x2 x3 x4 x5 x6 x7 x8 x9 ⟶ c1515.. x1 x2 x3 x5 x4 x6 x7 x8 x9Known 0bc98.. : ∀ 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 ⟶ c1515.. x1 x2 x3 x4 x5 x6 x7 x8 x9 ⟶ c1515.. x1 x2 x3 x4 x5 x7 x6 x8 x9Theorem cc4c2.. : ∀ 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 ⟶ c1515.. x1 x2 x3 x4 x5 x6 x7 x8 x9 ⟶ c1515.. x1 x2 x3 x5 x4 x7 x6 x8 x9 (proof) |
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