Theorems · Theorem · commutative algebra

Ideal.mem_comap

∀ {R : Type u} {S : Type v} {F : Type u_1} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : FunLike F R S] {f : F}
  {K : Ideal S} [inst_3 : RingHomClass F R S] {x : R}, x ∈ Ideal.comap f K ↔ f x ∈ K

Defined in

Mathlib.RingTheory.Ideal.Maps

Cited by

54 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext

Assumes

SemiringSemiringFunLikeRingHomClass