Theorems · Theorem · Lie groups
OpenSubgroup.mk.inj
∀ {G : Type u_1} {inst : Group G} {inst_1 : TopologicalSpace G} {toSubgroup : Subgroup G}
{isOpen' : IsOpen toSubgroup.carrier} {toSubgroup_1 : Subgroup G} {isOpen'_1 : IsOpen toSubgroup_1.carrier},
{ toSubgroup := toSubgroup, isOpen' := isOpen' } = { toSubgroup := toSubgroup_1, isOpen' := isOpen'_1 } →
toSubgroup = toSubgroup_1- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- 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
- IsOpenstatement and proof · cited by 2,400
- Subsemigroup.carrierstatement and proof · cited by 160
- Submonoid.toSubsemigroupstatement and proof · cited by 159
- Subgroup.toSubmonoidstatement and proof · cited by 114
- OpenSubgroupstatement · cited by 47
- OpenSubgroup.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- OpenSubgroup.mk.injEqproof · cited by 0