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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 explicit_Reals_E with x0, x1, x2, x3, x4, x5, ............and (explicit_Complex (ReplSep2 x0 (λ x7 . x0) (λ x7 x8 . True) x6) (λ x7 . x6 ((λ x8 . prim0 (λ x9 . and (x9x0) (∃ x10 . and (x10x0) (x8 = x6 x9 x10)))) x7) x1) (λ x7 . x6 ((λ x8 . prim0 (λ x9 . and (x9x0) (x8 = x6 ((λ x10 . prim0 (λ x11 . and (x11x0) (∃ x12 . and (x12x0) (x10 = x6 x11 x12)))) x8) x9))) x7) x1) (x6 x1 x1) (x6 x2 x1) (x6 x1 x2) (λ x7 x8 . x6 (x3 ((λ x9 . prim0 (λ x10 . and (x10x0) (∃ x11 . and (x11x0) (x9 = x6 x10 x11)))) x7) ((λ x9 . prim0 (λ x10 . and (x10x0) (∃ x11 . and (x11x0) (x9 = x6 x10 x11)))) x8)) (x3 ((λ x9 . prim0 (λ x10 . and (x10x0) (x9 = x6 ((λ x11 . prim0 (λ x12 . and (x12x0) (∃ x13 . and (x13x0) (x11 = x6 x12 x13)))) x9) x10))) x7) ((λ x9 . prim0 (λ x10 . and (x10x0) (x9 = x6 ((λ x11 . prim0 (λ x12 . and (x12x0) (∃ x13 . and (x13x0) (x11 = x6 x12 x13)))) x9) x10))) x8))) (λ x7 x8 . x6 (x3 (x4 ((λ x9 . prim0 (λ x10 . and (x10x0) (∃ x11 . and (x11x0) (x9 = x6 x10 x11)))) x7) ((λ x9 . prim0 (λ x10 . and (x10x0) (∃ x11 . and (x11x0) (x9 = x6 x10 x11)))) x8)) (explicit_Field_minus x0 x1 x2 x3 x4 (x4 ((λ x9 . prim0 (λ x10 . and (x10x0) (x9 = x6 ((λ x11 . prim0 (λ x12 . and (x12x0) (∃ x13 . and (x13x0) (x11 = x6 x12 x13)))) x9) x10))) x7) ((λ x9 . prim0 (λ x10 . and (x10x0) (x9 = x6 ((λ x11 . prim0 (λ x12 . and (x12...) ...)) ...) ...))) ...)))) ...)) ....
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