Theorems · Definition · Lie groups
OpenSubgroup.mk.noConfusion
{G : Type u_1} →
{inst : Group G} →
{inst_1 : TopologicalSpace G} →
{P : Sort u} →
{toSubgroup : Subgroup G} →
{isOpen' : IsOpen toSubgroup.carrier} →
{toSubgroup' : Subgroup G} →
{isOpen'' : IsOpen toSubgroup'.carrier} →
{ toSubgroup := toSubgroup, isOpen' := isOpen' } = { toSubgroup := toSubgroup', isOpen' := isOpen'' } →
(toSubgroup ≍ toSubgroup' → P) → P- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 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.noConfusionproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- OpenSubgroup.mk.injproof · cited by 1