Theorems · Theorem · group theory
AddSubgroup.subtype_injective
∀ {G : Type u_1} [inst : AddGroup G] (s : AddSubgroup G), Function.Injective ⇑s.subtype- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
- Assumes
- AddGroup
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- Subtype.coe_injectiveproof · cited by 205
- AddSubgroup.subtypestatement · cited by 82
Cited by10
Results whose statement or proof uses this declaration.
- AddSubgroup.map_subtype_injproof · cited by 4
- AddGroup.isAddCyclic_of_coprime_card_range_card_kerproof · cited by 1
- AddSubgroup.map_subtype_le_map_subtypeproof · cited by 1
- AddSubgroup.exists_left_transversal_of_leproof · cited by 0
- AddSubgroup.index_map_subtypeproof · cited by 0
- AddSubgroup.card_subtypeproof · cited by 0
- AddSubgroup.exists_right_transversal_of_leproof · cited by 0
- AddSubgroup.map_subtype_lt_map_subtypeproof · cited by 0
- AddSubgroup.relIndex_inter_ne_zeroproof · cited by 0
- TopologicalAddGroup.IsSES.ofClosedAddSubgroupproof · cited by 0