Theorems · Theorem · commutative algebra

Ideal.map_le_iff_le_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}
  {I : Ideal R} {K : Ideal S} [inst_3 : RingHomClass F R S], Ideal.map f I ≤ K ↔ I ≤ Ideal.comap f K

Defined in

Mathlib.RingTheory.Ideal.Maps

Cited by

60 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

SemiringSemiringFunLikeRingHomClass