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Pr7Yv../6de66.. 25.00 barsTMYdu../cbc86.. ownership of 51d26.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0TMM1j../bbbf8.. ownership of d77e3.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0PUSUM../cfe39.. doc published by Pr4zB..Param d5e1e.. : (ι → ι → ο) → ι → ι → ι → ι → ι → ι → ι → ι → οKnown ea89f.. : ∀ 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 ⟶ d5e1e.. x1 x2 x3 x4 x5 x6 x7 x8 x9 ⟶ d5e1e.. x1 x2 x4 x5 x3 x6 x7 x8 x9Known 00c7e.. : ∀ 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 ⟶ d5e1e.. x1 x2 x3 x4 x5 x6 x7 x8 x9 ⟶ d5e1e.. x1 x2 x3 x4 x5 x6 x8 x7 x9Theorem 51d26.. : ∀ 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 ⟶ d5e1e.. x1 x2 x3 x4 x5 x6 x7 x8 x9 ⟶ d5e1e.. x1 x2 x4 x5 x3 x6 x8 x7 x9 (proof) |
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