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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ιιι be given.
Let x4 of type ιιι be given.
Let x5 of type ιιο be given.
Let x6 of type ιιι be given.
Apply unknownprop_6506e7f62d1e2e82dd2eb322e79d587cc72544941960f50f6323eafe1cce767a with x0, x1, x2, x3, x4, x5, ...∀ x7 . ...∀ x8 . ...∀ x9 . ...(λ x10 x11 . x6 (x3 (x4 ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (∃ x14 . and (prim1 x14 x0) (x12 = x6 x13 x14)))) x10) ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (∃ x14 . and (prim1 x14 x0) (x12 = x6 x13 x14)))) x11)) (explicit_Field_minus x0 x1 x2 x3 x4 (x4 ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (x12 = x6 ((λ x14 . prim0 (λ x15 . and (prim1 x15 x0) (∃ x16 . and (prim1 x16 x0) (x14 = x6 x15 x16)))) x12) x13))) x10) ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (x12 = x6 ((λ x14 . prim0 (λ x15 . and (prim1 x15 x0) (∃ x16 . and (prim1 x16 x0) (x14 = x6 x15 x16)))) x12) x13))) x11)))) (x3 (x4 ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (∃ x14 . and (prim1 x14 x0) (x12 = x6 x13 x14)))) x10) ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (x12 = x6 ((λ x14 . prim0 (λ x15 . and (prim1 x15 x0) (∃ x16 . and (prim1 x16 x0) (x14 = x6 x15 x16)))) x12) x13))) x11)) (x4 ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (x12 = x6 ((λ x14 . prim0 (λ x15 . and (prim1 x15 x0) (∃ x16 . and (prim1 x16 x0) (x14 = x6 x15 x16)))) x12) x13))) x10) ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (∃ x14 . and (prim1 x14 x0) (x12 = x6 x13 x14)))) x11)))) x7 ((λ x10 x11 . x6 (x3 ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (∃ x14 . and (prim1 x14 x0) (x12 = x6 x13 x14)))) x10) ((λ x12 . prim0 (λ x13 . and (prim1 x13 x0) (∃ x14 . and (prim1 x14 x0) (x12 = x6 x13 x14)))) x11)) (x3 ((λ x12 . prim0 ...) ...) ...)) ... ...) = ....
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