Theorems · Theorem · Lie groups
OpenNormalSubgroup.ext
∀ {G : Type u} {inst : Group G} {inst_1 : TopologicalSpace G} {x y : OpenNormalSubgroup G},
(↑x.toOpenSubgroup).carrier = (↑y.toOpenSubgroup).carrier → x = y- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- IsOpenproof · cited by 2,400
- Subgroup.Normalproof · cited by 334
- Subsemigroup.carrierstatement and proof · cited by 160
- Submonoid.toSubsemigroupstatement and proof · cited by 159
- Subgroup.toSubmonoidstatement and proof · cited by 114
- OpenSubgroup.toSubgroupstatement and proof · cited by 34
- OpenNormalSubgroupstatement and proof · cited by 27
- OpenNormalSubgroup.toOpenSubgroupstatement and proof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- OpenNormalSubgroup.toSubgroup_injectiveproof · cited by 1
- OpenNormalSubgroup.ext_iffproof · cited by 0