Theorems · Theorem · Lie groups
ClosedAddSubgroup.ext
∀ {G : Type u} {inst : AddGroup G} {inst_1 : TopologicalSpace G} {x y : ClosedAddSubgroup G},
(↑x).carrier = (↑y).carrier → x = y- 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.
Cites9
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
- IsClosedproof · cited by 1,639
- AddSubmonoid.toAddSubsemigroupstatement and proof · cited by 198
- AddSubsemigroup.carrierstatement and proof · cited by 198
- AddSubgroup.toAddSubmonoidstatement and proof · cited by 91
- ClosedAddSubgroupstatement and proof · cited by 8
- ClosedAddSubgroup.toAddSubgroupstatement and proof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- ClosedAddSubgroup.toAddSubgroup_injectiveproof · cited by 0
- ClosedAddSubgroup.ext_iffproof · cited by 0