| ∀ x0 x1 x2 . ∀ x3 x4 : ι → ι → ι . ∀ x5 : ι → ι → ο . ∀ x6 : ι → ι → ι . explicit_Reals x0 x1 x2 x3 x4 x5 ⟶ (∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ x6 x7 x8 = x6 x9 x10 ⟶ and (x7 = x9) (x8 = x10)) ⟶ explicit_Field (ReplSep2 x0 (λ x7 . x0) (λ x7 x8 . True) x6) (x6 x1 x1) (x6 x2 x1) (λ x7 x8 . x6 (x3 (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x7 = x6 x9 x10)))) (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x8 = x6 x9 x10))))) (x3 (prim0 (λ x9 . and (x9 ∈ x0) (x7 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x7 = x6 x11 x12)))) x9))) (prim0 (λ x9 . and (x9 ∈ x0) (x8 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x8 = x6 x11 x12)))) x9))))) (λ x7 x8 . x6 (x3 (x4 (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x7 = x6 x9 x10)))) (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x8 = x6 x9 x10))))) (explicit_Field_minus x0 x1 x2 x3 x4 (x4 (prim0 (λ x9 . and (x9 ∈ x0) (x7 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x7 = x6 x11 x12)))) x9))) (prim0 (λ x9 . and (x9 ∈ x0) (x8 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x8 = x6 x11 x12)))) x9)))))) (x3 (x4 (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x7 = x6 x9 x10)))) (prim0 (λ x9 . and (x9 ∈ x0) (x8 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x8 = x6 x11 x12)))) x9)))) (x4 (prim0 (λ x9 . and (x9 ∈ x0) (x7 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x7 = x6 x11 x12)))) x9))) (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x8 = x6 x9 x10))))))) ⟶ and (explicit_Complex (ReplSep2 x0 (λ x7 . x0) (λ x7 x8 . True) x6) (λ x7 . x6 (prim0 (λ x8 . and (x8 ∈ x0) (∃ x9 . and (x9 ∈ x0) (x7 = x6 x8 x9)))) x1) (λ x7 . x6 (prim0 (λ x8 . and (x8 ∈ x0) (x7 = x6 (prim0 (λ x10 . and (x10 ∈ x0) (∃ x11 . and (x11 ∈ x0) (x7 = x6 x10 x11)))) x8))) x1) (x6 x1 x1) (x6 x2 x1) (x6 x1 x2) (λ x7 x8 . x6 (x3 (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x7 = x6 x9 x10)))) (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x8 = x6 x9 x10))))) (x3 (prim0 (λ x9 . and (x9 ∈ x0) (x7 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x7 = x6 x11 x12)))) x9))) (prim0 (λ x9 . and (x9 ∈ x0) (x8 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x8 = x6 x11 x12)))) x9))))) (λ x7 x8 . x6 (x3 (x4 (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x7 = x6 x9 x10)))) (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x8 = x6 x9 x10))))) (explicit_Field_minus x0 x1 x2 x3 x4 (x4 (prim0 (λ x9 . and (x9 ∈ x0) (x7 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x7 = x6 x11 x12)))) x9))) (prim0 (λ x9 . and (x9 ∈ x0) (x8 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x8 = x6 x11 x12)))) x9)))))) (x3 (x4 (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x7 = x6 x9 x10)))) (prim0 (λ x9 . and (x9 ∈ x0) (x8 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x8 = x6 x11 x12)))) x9)))) (x4 (prim0 (λ x9 . and (x9 ∈ x0) (x7 = x6 (prim0 (λ x11 . and (x11 ∈ x0) (∃ x12 . and (x12 ∈ x0) (x7 = x6 x11 x12)))) x9))) (prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x8 = x6 x9 x10)))))))) ((∀ x7 . x7 ∈ x0 ⟶ x6 x7 x1 = x7) ⟶ and (and (and (and (and (x0 ⊆ ReplSep2 x0 (λ x7 . x0) (λ x7 x8 . True) x6) (∀ x7 . x7 ∈ x0 ⟶ prim0 (λ x9 . and (x9 ∈ x0) (∃ x10 . and (x10 ∈ x0) (x7 = x6 x9 x10))) = x7)) (x6 x1 x1 = x1)) (x6 x2 x1 = x2)) (∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ x6 (x3 (prim0 (λ x10 . and (x10 ∈ x0) (∃ x11 . and (x11 ∈ x0) (x7 = x6 x10 x11)))) (prim0 (λ x10 . and (x10 ∈ x0) (∃ x11 . and (x11 ∈ x0) (x8 = x6 x10 x11))))) (x3 (prim0 (λ x10 . and (x10 ∈ x0) (x7 = x6 (prim0 (λ x12 . and (x12 ∈ x0) (∃ x13 . and (x13 ∈ x0) (x7 = x6 x12 x13)))) x10))) (prim0 (λ x10 . and (x10 ∈ x0) (x8 = x6 (prim0 (λ x12 . and (x12 ∈ x0) (∃ x13 . and (x13 ∈ x0) (x8 = x6 x12 x13)))) x10)))) = x3 x7 x8)) (∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ x6 (x3 (x4 (prim0 (λ x10 . and (x10 ∈ x0) (∃ x11 . and (x11 ∈ x0) (x7 = x6 x10 x11)))) (prim0 (λ x10 . and (x10 ∈ x0) (∃ x11 . and (x11 ∈ x0) (x8 = x6 x10 x11))))) (explicit_Field_minus x0 x1 x2 x3 x4 (x4 (prim0 (λ x10 . and (x10 ∈ x0) (x7 = x6 (prim0 (λ x12 . and (x12 ∈ x0) (∃ x13 . and (x13 ∈ x0) (x7 = x6 x12 x13)))) x10))) (prim0 (λ x10 . and (x10 ∈ x0) (x8 = x6 (prim0 (λ x12 . and (x12 ∈ x0) (∃ x13 . and (x13 ∈ x0) (x8 = x6 x12 x13)))) x10)))))) (x3 (x4 (prim0 (λ x10 . and (x10 ∈ x0) (∃ x11 . and (x11 ∈ x0) (x7 = x6 x10 x11)))) (prim0 (λ x10 . and (x10 ∈ x0) (x8 = x6 (prim0 (λ x12 . and (x12 ∈ x0) (∃ x13 . and (x13 ∈ x0) (x8 = x6 x12 x13)))) x10)))) (x4 (prim0 (λ x10 . and (x10 ∈ x0) (x7 = x6 (prim0 (λ x12 . and (x12 ∈ x0) (∃ x13 . and (x13 ∈ x0) (x7 = x6 x12 x13)))) x10))) (prim0 (λ x10 . and (x10 ∈ x0) (∃ x11 . and (x11 ∈ x0) (x8 = x6 x10 x11)))))) = x4 x7 x8)) |
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