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PrQyi../e00eb.. 4.82 barsTMLwE../532ed.. ownership of 3c29e.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0TMGUu../101db.. ownership of 97721.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0PUccc../4e5ac.. doc published by Pr4zB..Param bfd4f.. : (ι → ι → ο) → ι → ι → ι → ι → ι → ι → ι → ι → ι → οKnown bf023.. : ∀ 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 ⟶ ∀ x10 . x10 ∈ x0 ⟶ bfd4f.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 ⟶ bfd4f.. x1 x2 x3 x5 x4 x6 x7 x8 x9 x10Known 0f0b4.. : ∀ 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 ⟶ ∀ x10 . x10 ∈ x0 ⟶ bfd4f.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 ⟶ bfd4f.. x1 x2 x3 x4 x5 x7 x6 x8 x9 x10Theorem 3c29e.. : ∀ 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 ⟶ ∀ x10 . x10 ∈ x0 ⟶ bfd4f.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 ⟶ bfd4f.. x1 x2 x3 x5 x4 x7 x6 x8 x9 x10 (proof) |
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