Mathlib Map

Theorems · Theorem · general topology

TopologicalSpace.Clopens.ext

∀ {α : Type u_2} [inst : TopologicalSpace α] {s t : TopologicalSpace.Clopens α}, ↑s = ↑t → s = t
Defined in
Mathlib.Topology.Sets.Closeds
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

TopologicalSpace.Clopens.countable_iff_secondCountable · cited by 0Clopens.countable_iff_sec…TopologicalSpace.Clopens.ext_iff · cited by 0Clopens.ext_iffSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeSetLike.ext' · cited by 60SetLike.ext'TopologicalSpace.Clopens · cited by 53TopologicalSpace.ClopensClopens.extCITED BYCITES

Cites5

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.