Mathlib Map

Theorems · Theorem · general topology

Filter.comap_injective

∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Function.Surjective f → Function.Injective (Filter.comap f)
Defined in
Mathlib.Order.Filter.Map
Cited by
2 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

comap_addConj_nhds_zero · cited by 1comap_addConj_nhds_zerocomap_conj_nhds_one · cited by 1comap_conj_nhds_oneFilter · cited by 8121FilterFilter.comap · cited by 546Filter.comapFilter.map_comap_of_surjective · cited by 11Filter.map_comap_of_surje…Filter.comap_injectiveCITED BYCITES

Cites3

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

Cited by2

Results whose statement or proof uses this declaration.