Theorems · Theorem · Lie groups
OpenNormalAddSubgroup.ext
∀ {G : Type u} {inst : AddGroup G} {inst_1 : TopologicalSpace G} {x y : OpenNormalAddSubgroup G},
(↑x.toOpenAddSubgroup).carrier = (↑y.toOpenAddSubgroup).carrier → x = y- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- 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.
Cites11
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
- AddGroupstatement and proof · cited by 4,410
- IsOpenproof · cited by 2,400
- AddSubmonoid.toAddSubsemigroupstatement and proof · cited by 198
- AddSubsemigroup.carrierstatement and proof · cited by 198
- AddSubgroup.Normalproof · cited by 183
- AddSubgroup.toAddSubmonoidstatement and proof · cited by 91
- OpenAddSubgroup.toAddSubgroupstatement and proof · cited by 27
- OpenNormalAddSubgroupstatement and proof · cited by 20
- OpenNormalAddSubgroup.toOpenAddSubgroupstatement and proof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- OpenNormalAddSubgroup.toAddSubgroup_injectiveproof · cited by 1
- OpenNormalAddSubgroup.ext_iffproof · cited by 0