Mathlib Map

Theorems · Definition · Lie groups

OpenSubgroup.toOpens

{G : Type u_1} → [inst : Group G] → [inst_1 : TopologicalSpace G] → OpenSubgroup G → TopologicalSpace.Opens G

Coercion from OpenSubgroup G to Opens G.

Defined in
Mathlib.Topology.Algebra.OpenSubgroup
Cited by
4 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext
Assumes
GroupTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OpenSubgroup.toOpens_inf · cited by 0OpenSubgroup.toOpens_infOpenSubgroup.toOpens_top · cited by 0OpenSubgroup.toOpens_topOpenSubgroup.coe_toOpens · cited by 0OpenSubgroup.coe_toOpensOpenSubgroup.mem_toOpens · cited by 0OpenSubgroup.mem_toOpensTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeGroup · cited by 6238GroupTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensOpenSubgroup · cited by 47OpenSubgroupOpenSubgroup.isOpen' · cited by 4OpenSubgroup.isOpen'OpenSubgroup.toOpensCITED BYCITES

Cites6

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.