Theorems · Theorem · group theory
Subgroup.subtype_injective
∀ {G : Type u_1} [inst : Group G] (s : Subgroup G), Function.Injective ⇑s.subtype- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Subtype.coe_injectiveproof · cited by 205
- Subgroup.subtypestatement · cited by 185
Cited by18
Results whose statement or proof uses this declaration.
- Subgroup.map_subtype_injproof · cited by 11
- Subgroup.map_subtype_le_map_subtypeproof · cited by 4
- alternatingGroup.ofSubtype_injectiveproof · cited by 1
- Subgroup.Normal.of_map_subtypeproof · cited by 1
- Equiv.Perm.OnCycleFactors.kerParam_injectiveproof · cited by 1
- Group.isCyclic_of_coprime_card_range_card_kerproof · cited by 1
- Subgroup.index_map_subtypeproof · cited by 1
- Subgroup.card_subtypeproof · cited by 1
- IsZGroup.isCyclic_commutatorproof · cited by 1
- card_commutatorSet_closureCommutatorRepresentativesproof · cited by 1
- card_commutator_closureCommutatorRepresentativesproof · cited by 1
- Subgroup.map_subtype_lt_map_subtypeproof · cited by 1