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Theorems · Theorem · ring theory

RingEquiv.map_ne_one_iff

∀ {R : Type u_4} {S : Type u_5} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (f : R ≃+* S) {x : R},
  f x ≠ 1 ↔ x ≠ 1
Defined in
Mathlib.Algebra.Ring.Equiv
Cited by
0 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
NonAssocSemiringNonAssocSemiring
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DFunLike.coe · cited by 62936DFunLike.coeRingEquiv · cited by 1147RingEquivNonAssocSemiring · cited by 805NonAssocSemiringEmbeddingLike.map_ne_one_iff · cited by 3EmbeddingLike.map_ne_one_…RingEquiv.map_ne_one_iffCITED BYCITES

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