Mathlib Map

Theorems · Theorem · order theory

Setoid.comap_map_of_ker_le

∀ {α : Type u_1} {β : Type u_2} (f : α → β) (r : Setoid α), Setoid.ker f ≤ r → Setoid.comap f (r.map f) = r
Defined in
Mathlib.Data.Setoid.Basic
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Setoid.comap_map_eq · cited by 1Setoid.comap_map_eqle_antisymm · cited by 2068le_antisymmFunction.onFun · cited by 570Function.onFunSetoid.ker · cited by 43Setoid.kerRelation.Map · cited by 40Relation.MapSetoid.comap · cited by 16Setoid.comapSetoid.map · cited by 6Setoid.mapSetoid.comap_rel_eq · cited by 1Setoid.comap_rel_eqSetoid.coe_map_of_ker_le · cited by 1Setoid.coe_map_of_ker_leSetoid.le_comap_map · cited by 1Setoid.le_comap_mapSetoid.le_iff_rel_le · cited by 1Setoid.le_iff_rel_leSetoid.comap_map_of_ker_leCITED BYCITES

Cites10

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

Cited by1

Results whose statement or proof uses this declaration.