Theorems · Definition · ring theory

NonUnitalSubsemiring.map

{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 R → NonUnitalSubsemiring S

The image of a non-unital subsemiring along a ring homomorphism is a non-unital subsemiring.

Defined in

Mathlib.RingTheory.NonUnitalSubsemiring.Basic

Cited by

22 results in Mathlib

Foundations

Depth 16 from the axioms · uses no axioms

Assumes

NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringFunLikeNonUnitalRingHomClass