Mathlib Map

Theorems · Theorem · ring theory

RingEquiv.map_eq_zero_iff

∀ {R : Type u_4} {S : Type u_5} [inst : NonUnitalNonAssocSemiring R] [inst_1 : NonUnitalNonAssocSemiring S]
  (f : R ≃+* S) {x : R}, f x = 0 ↔ x = 0
Defined in
Mathlib.Algebra.Ring.Equiv
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses Quot.sound
Assumes
NonUnitalNonAssocSemiringNonUnitalNonAssocSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RingInvo.map_eq_zero_iff · cited by 0RingInvo.map_eq_zero_iffDFunLike.coe · cited by 62936DFunLike.coeRingEquiv · cited by 1147RingEquivNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringEmbeddingLike.map_eq_zero_iff · cited by 9EmbeddingLike.map_eq_zero…RingEquiv.map_eq_zero_iffCITED BYCITES

Cites4

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Cited by1

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