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Proofgold Proof

pf
Claim L0: ...
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Claim L1: ...
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Claim L2: ...
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Claim L3: ...
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Claim L4: ...
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Let x0 of type ι → ι → ι → ι be given.
Let x1 of type ι → ο be given.
Let x2 of type ι be given.
Let x3 of type ι → ι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Let x7 of type ι be given.
Let x8 of type ι → ο be given.
Let x9 of type ι → ο be given.
Let x10 of type ι → ι be given.
Let x11 of type ι → ι be given.
Let x12 of type ι be given.
Let x13 of type ι → ι be given.
Let x14 of type ι → ο be given.
Let x15 of type ι → ι be given.
Let x16 of type ι → ι → ο be given.
Let x17 of type ι → ι → ι → ι → ι be given.
Let x18 of type ι → ι → ι → ι be given.
Let x19 of type ι → ι → ι → ο be given.
Let x20 of type ι → ο be given.
Let x21 of type ι → ο be given.
Assume H5: ∀ x22 x23 x24 x25 . x21 x25 ⟶ x14 x25 ⟶ x20 x25 ⟶ x16 x22 (x15 x25) ⟶ x16 x24 (x15 x25) ⟶ x16 x23 (x15 x25) ⟶ x19 x25 x22 x23 ⟶ x19 x25 x24 x23 ⟶ x19 x25 x23 (x17 x23 x24 x22 x25) ⟶ (x23 = x18 x25 x22 x24 ⟶ False) ⟶ False.
Assume H6: ∀ x22 x23 x24 x25 . x21 x25 ⟶ x14 x25 ⟶ x20 x25 ⟶ x16 x22 (x15 x25) ⟶ x16 x24 (x15 x25) ⟶ x16 x23 (x15 x25) ⟶ x19 x25 x22 x23 ⟶ x19 x25 x24 x23 ⟶ (x19 x25 x24 (x17 x23 x24 x22 x25) ⟶ False) ⟶ (x23 = x18 x25 x22 x24 ⟶ False) ⟶ False.
Assume H7: ∀ x22 x23 x24 x25 . x21 x25 ⟶ x14 x25 ⟶ x20 x25 ⟶ x16 x22 (x15 x25) ⟶ x16 x24 (x15 x25) ⟶ x16 x23 (x15 x25) ⟶ x19 x25 x22 x23 ⟶ x19 x25 x24 x23 ⟶ (x19 x25 x22 (x17 x23 x24 x22 x25) ⟶ False) ⟶ (x23 = x18 x25 x22 x24 ⟶ False) ⟶ False.
Assume H8: ∀ x22 x23 x24 x25 . x21 x25 ⟶ x14 x25 ⟶ x20 x25 ⟶ x16 x22 (x15 x25) ⟶ x16 x24 (x15 x25) ⟶ x16 x23 (x15 x25) ⟶ x19 x25 x22 x23 ⟶ x19 x25 x24 x23 ⟶ (x16 (x17 x23 x24 x22 x25) (x15 x25) ⟶ False) ⟶ (x23 = x18 x25 x22 x24 ⟶ False) ⟶ False.
Assume H9: ∀ x22 x23 x24 x25 x26 . x21 x26 ⟶ x14 x26 ⟶ x20 x26 ⟶ x16 x22 (x15 x26) ⟶ x16 x25 (x15 x26) ⟶ x16 x23 (x15 x26) ⟶ x23 = x18 x26 x22 x25 ⟶ x16 x24 (x15 x26) ⟶ x19 x26 x22 x24 ⟶ x19 x26 x25 x24 ⟶ (x19 x26 x23 x24 ⟶ False) ⟶ False.
Assume H10: ∀ x22 x23 x24 x25 . ... ⟶ ... ⟶ ... ⟶ x16 ... ... ⟶ x16 x24 (x15 x25) ⟶ x16 x23 (x15 x25) ⟶ x23 = x18 x25 x22 x24 ⟶ (x19 x25 x24 x23 ⟶ False) ⟶ False.
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