Theorems · Theorem · Lie groups
OpenSubgroup.mk.injEq
∀ {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
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- GroupTopologicalSpace
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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.injproof · cited by 1
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