Mathlib Map

Theorems · Theorem · ring theory

TwoSidedIdeal.map_mono

∀ {R : Type u_1} {S : Type u_2} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S] {F : Type u_3}
  [inst_2 : FunLike F R S] (f : F) {I J : TwoSidedIdeal R}, I ≤ J → TwoSidedIdeal.map f I ≤ TwoSidedIdeal.map f J
Defined in
Mathlib.RingTheory.TwoSidedIdeal.Operations
Cited by
0 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRingFunLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FunLike · cited by 2560FunLikeNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingSet.image_mono · cited by 197Set.image_monoTwoSidedIdeal · cited by 151TwoSidedIdealTwoSidedIdeal.span_mono · cited by 3TwoSidedIdeal.span_monoTwoSidedIdeal.map · cited by 1TwoSidedIdeal.mapTwoSidedIdeal.map_monoCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.