Theorems · Definition · commutative algebra

RingEquiv.subringMap

{R : Type u} →
  {S : Type v} →
    [inst : NonAssocRing R] →
      [inst_1 : NonAssocRing S] → {s : Subring R} → (e : R ≃+* S) → ↥s ≃+* ↥(Subring.map e.toRingHom s)

Given an equivalence e : R ≃+* S of rings and a subring s of R, subringMap e s is the induced equivalence between s and s.map e

Defined in

Mathlib.Algebra.Ring.Subring.Basic

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

NonAssocRingNonAssocRing