Theorems · Theorem · commutative algebra

Ideal.map_mono

∀ {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 J : Ideal R}, I ≤ J → Ideal.map f I ≤ Ideal.map f J

Defined in

Mathlib.RingTheory.Ideal.Maps

Cited by

29 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringFunLike