Theorems · Theorem · Lie groups
ClosedSubgroup.ext
∀ {G : Type u} {inst : Group G} {inst_1 : TopologicalSpace G} {x y : ClosedSubgroup G},
(↑x).carrier = (↑y).carrier → x = y- 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.
Cites9
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
- IsClosedproof · cited by 1,639
- Subsemigroup.carrierstatement and proof · cited by 160
- Submonoid.toSubsemigroupstatement and proof · cited by 159
- Subgroup.toSubmonoidstatement and proof · cited by 114
- ClosedSubgroupstatement and proof · cited by 11
- ClosedSubgroup.toSubgroupstatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- ClosedSubgroup.toSubgroup_injectiveproof · cited by 0
- ClosedSubgroup.ext_iffproof · cited by 0