Theorems · Theorem · group theory
FiniteIndexNormalSubgroup.toSubgroup_injective
∀ {G : Type u_1} [inst : Group G], Function.Injective fun H => H.toSubgroup- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- Group
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Set.extproof · cited by 2,266
- Subsemigroup.carrierproof · cited by 160
- Submonoid.toSubsemigroupproof · cited by 159
- Subgroup.toSubmonoidproof · cited by 114
- FiniteIndexNormalSubgroupstatement and proof · cited by 27
- FiniteIndexNormalSubgroup.toSubgroupstatement and proof · cited by 15
- FiniteIndexNormalSubgroup.extproof · cited by 2
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