Theorems · Theorem · group theory
FiniteIndexNormalSubgroup.ext
∀ {G : Type u_1} {inst : Group G} {x y : FiniteIndexNormalSubgroup 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
- Groupstatement and proof · cited by 6,238
- Subgroup.Normalproof · cited by 334
- Subsemigroup.carrierstatement and proof · cited by 160
- Submonoid.toSubsemigroupstatement and proof · cited by 159
- Subgroup.toSubmonoidstatement and proof · cited by 114
- Subgroup.FiniteIndexproof · cited by 113
- FiniteIndexNormalSubgroupstatement and proof · cited by 27
- FiniteIndexNormalSubgroup.toSubgroupstatement and proof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- FiniteIndexNormalSubgroup.ext_iffproof · cited by 0
- FiniteIndexNormalSubgroup.toSubgroup_injectiveproof · cited by 0