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PrJez../e9ea1.. 25.00 barsTMamj../08770.. ownership of e074c.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0TMNDJ../02fe1.. ownership of ad81f.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0PULyt../2aa4a.. doc published by Pr4zB..Param d5e1e.. : (ι → ι → ο) → ι → ι → ι → ι → ι → ι → ι → ι → οKnown d4308.. : ∀ 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 x5 x4 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 e074c.. : ∀ 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 x5 x4 x6 x8 x7 x9 (proof) |
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