Mathlib Map

Theorems · Theorem · ring theory

RingEquiv.toRingHom_injective

∀ {R : Type u_4} {S : Type u_5} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S],
  Function.Injective RingEquiv.toRingHom
Defined in
Mathlib.Algebra.Ring.Equiv
Cited by
2 results in Mathlib
Foundations
Depth 22 from the axioms · uses Quot.sound
Assumes
NonAssocSemiringNonAssocSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsLocalRing.ResidueField.mapEquiv_trans · cited by 0ResidueField.mapEquiv_tra…IsLocalRing.ResidueField.mapEquiv_refl · cited by 0ResidueField.mapEquiv_reflRingHom · cited by 10189RingHomRingEquiv · cited by 1147RingEquivNonAssocSemiring · cited by 805NonAssocSemiringRingEquiv.toRingHom · cited by 150RingEquiv.toRingHomRingEquiv.ext · cited by 33RingEquiv.extRingHom.ext_iff · cited by 16RingHom.ext_iffRingEquiv.toRingHom_injectiveCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.