Theorems · Theorem · Lie groups
ClosedSubgroup.mk.inj
∀ {G : Type u} {inst : Group G} {inst_1 : TopologicalSpace G} {toSubgroup : Subgroup G}
{isClosed' : IsClosed toSubgroup.carrier} {toSubgroup_1 : Subgroup G} {isClosed'_1 : IsClosed toSubgroup_1.carrier},
{ toSubgroup := toSubgroup, isClosed' := isClosed' } = { toSubgroup := toSubgroup_1, isClosed' := isClosed'_1 } →
toSubgroup = toSubgroup_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
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.
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- IsClosedstatement and proof · 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 · cited by 11
- ClosedSubgroup.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ClosedSubgroup.mk.injEqproof · cited by 0