Theorems · Theorem · commutative algebra

RingHom.ker_comp_of_injective

∀ {R : Type u} {S : Type v} {T : Type w} [inst : Ring R] [inst_1 : Semiring S] [inst_2 : Semiring T] (g : T →+* R)
  {f : R →+* S}, Function.Injective ⇑f → RingHom.ker (f.comp g) = RingHom.ker g

Defined in

Mathlib.RingTheory.Ideal.Maps

Cited by

3 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

RingSemiringSemiring