Mathlib Map

Theorems · Theorem · general topology

TopologicalSpace.Compacts.coe_bot

∀ {α : Type u_1} [inst : TopologicalSpace α], ↑⊥ = ∅
Defined in
Mathlib.Topology.Sets.Compacts
Cited by
4 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.Content.innerContent_bot · cited by 3Content.innerContent_botTopologicalSpace.Compacts.isClopen_singleton_bot · cited by 3Compacts.isClopen_singlet…MeasureTheory.Measure.haar.prehaar_empty · cited by 1haar.prehaar_emptyMeasureTheory.Measure.haar.addPrehaar_empty · cited by 1haar.addPrehaar_emptySet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeBot.bot · cited by 4720Bot.botTopologicalSpace.Compacts · cited by 386TopologicalSpace.CompactsCompacts.coe_botCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.