Theorems · Theorem · commutative algebra

RingHom.ker_prodMap

∀ {R : Type u} {S : Type v} [inst : Semiring R] [inst_1 : Semiring S] {T : Type u_1} {U : Type u_2}
  [inst_2 : Semiring T] [inst_3 : Semiring U] (f : R →+* S) (g : T →+* U),
  RingHom.ker (f.prodMap g) = (RingHom.ker f).prod (RingHom.ker g)

Defined in

Mathlib.RingTheory.Ideal.Prod

Cited by

0 results in Mathlib

Foundations

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

Assumes

SemiringSemiringSemiringSemiring