Theorems · Definition · commutative algebra

RingEquiv.subsemiringMap

{R : Type u} →
  {S : Type v} →
    [inst : NonAssocSemiring R] →
      [inst_1 : NonAssocSemiring S] → (e : R ≃+* S) → (s : Subsemiring R) → ↥s ≃+* ↥(Subsemiring.map (↑e) s)

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

Defined in

Mathlib.Algebra.Ring.Subsemiring.Basic

Cited by

2 results in Mathlib

Foundations

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

Assumes

NonAssocSemiringNonAssocSemiring