Theorems · Theorem · commutative algebra

Ideal.comap_map_of_bijective

∀ {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)
  [inst_3 : RingHomClass F R S], Function.Bijective ⇑f → ∀ {I : Ideal R}, Ideal.comap f (Ideal.map f I) = I

Defined in

Mathlib.RingTheory.Ideal.Maps

Cited by

3 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringFunLikeRingHomClass