Mathlib Map

Theorems · Theorem · general topology

denseRange_stoneCechUnit

∀ {α : Type u} [inst : TopologicalSpace α], DenseRange stoneCechUnit

The image of stoneCechUnit is dense. (But stoneCechUnit need not be an embedding, for example if the original space is not Hausdorff.)

Defined in
Mathlib.Topology.Compactification.StoneCech
Cited by
3 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

Around this declaration

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

Cites10

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

Cited by3

Results whose statement or proof uses this declaration.