Theorems · Definition · commutative algebra

RingHom.domRestrict

{R : Type u} →
  {S : Type v} →
    [inst : NonAssocSemiring R] →
      [inst_1 : NonAssocSemiring S] →
        {σR : Type u_1} → [inst_2 : SetLike σR R] → [inst_3 : SubsemiringClass σR R] → (R →+* S) → (s : σR) → ↥s →+* S

Restriction of a ring homomorphism to a subsemiring of the domain.

Defined in

Mathlib.Algebra.Ring.Subsemiring.Defs

Cited by

5 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Quot.sound

Assumes

NonAssocSemiringNonAssocSemiringSetLikeSubsemiringClass