| ∀ x0 x1 x2 . ∀ x3 x4 x5 x6 : ι → ι → ι . (∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ x3 x7 x8 = x5 x7 x8) ⟶ (∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ x4 x7 x8 = x6 x7 x8) ⟶ iff (explicit_Ring_with_id x0 x1 x2 x3 x4) (explicit_Ring_with_id x0 x1 x2 x5 x6) |
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| explicit_Ring_with_id_repindep |
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