Theorems · Definition · ring theory

RingEquiv.nonUnitalSubsemiringMap

{R : Type u} →
  {S : Type v} →
    [inst : NonUnitalNonAssocSemiring R] →
      [inst_1 : NonUnitalNonAssocSemiring S] →
        (e : R ≃+* S) → (s : NonUnitalSubsemiring R) → ↥s ≃+* ↥(NonUnitalSubsemiring.map e.toNonUnitalRingHom s)

Given an equivalence e : R ≃+* S of non-unital semirings and a non-unital subsemiring s of R, nonUnitalSubsemiringMap e s is the induced equivalence between s and s.map e

Defined in

Mathlib.RingTheory.NonUnitalSubsemiring.Basic

Cited by

2 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

NonUnitalNonAssocSemiringNonUnitalNonAssocSemiring