Theorems · Definition · ring theory

NonUnitalRingHom.srangeRestrict

{R : Type u} →
  {S : Type v} →
    [inst : NonUnitalNonAssocSemiring R] →
      {F : Type u_1} →
        [inst_1 : FunLike F R S] →
          [inst_2 : NonUnitalNonAssocSemiring S] →
            [inst_3 : NonUnitalRingHomClass F R S] → (f : F) → R →ₙ+* ↥(NonUnitalRingHom.srange f)

Restriction of a non-unital ring homomorphism to its range interpreted as a non-unital subsemiring. This is the bundled version of Set.rangeFactorization.

Defined in

Mathlib.RingTheory.NonUnitalSubsemiring.Basic

Cited by

2 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonUnitalNonAssocSemiringFunLikeNonUnitalNonAssocSemiringNonUnitalRingHomClass