RingHom.rangeSRestrict

{R : Type u} →
  {S : Type v} → [inst : NonAssocSemiring R] → [inst_1 : NonAssocSemiring S] → (f : R →+* S) → R →+* ↥f.rangeS

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

Defined in: Mathlib.Algebra.Ring.Subsemiring.Basic
Cited by: 4 results in Mathlib
Foundations: Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NonAssocSemiring NonAssocSemiring

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