Theorems · Theorem · commutative algebra

Ideal.map_map

∀ {R : Type u} {S : Type v} [inst : Semiring R] [inst_1 : Semiring S] {T : Type u_3} [inst_2 : Semiring T] {I : Ideal R}
  (f : R →+* S) (g : S →+* T), Ideal.map g (Ideal.map f I) = Ideal.map (g.comp f) I

Defined in

Mathlib.RingTheory.Ideal.Maps

Cited by

37 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

SemiringSemiringSemiring