Theorems · Definition · ring theory

NonUnitalRingHom.srange

{R : Type u} →
  {S : Type v} →
    [inst : NonUnitalNonAssocSemiring R] →
      [inst_1 : NonUnitalNonAssocSemiring S] →
        {F : Type u_1} → [inst_2 : FunLike F R S] → [NonUnitalRingHomClass F R S] → F → NonUnitalSubsemiring S

The range of a non-unital ring homomorphism is a non-unital subsemiring. See note [range copy pattern].

Defined in

Mathlib.RingTheory.NonUnitalSubsemiring.Basic

Cited by

17 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringFunLikeNonUnitalRingHomClass