Mathlib Map

Theorems · Theorem · general topology

Filter.comap_top

∀ {α : Type u_1} {β : Type u_2} {m : α → β}, Filter.comap m ⊤ = ⊤
Defined in
Mathlib.Order.Filter.Map
Cited by
5 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Filter.top_prod · cited by 2Filter.top_prodTendstoUniformly.comp · cited by 1TendstoUniformly.compFunction.Surjective.filter_map_top · cited by 1Surjective.filter_map_topFilter.prod_top · cited by 1Filter.prod_topFilter.le_comap_top · cited by 0Filter.le_comap_topTop.top · cited by 9680Top.topFilter · cited by 8121FilterFilter.comap · cited by 546Filter.comapGaloisConnection.u_top · cited by 31GaloisConnection.u_topFilter.gc_map_comap · cited by 12Filter.gc_map_comapFilter.comap_topCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.