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Theorems · Theorem · group theory

AddSubgroup.inclusion_injective

∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G} (h : H ≤ K), Function.Injective ⇑(AddSubgroup.inclusion h)
Defined in
Mathlib.Algebra.Group.Subgroup.Defs
Cited by
4 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
Assumes
AddGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSubgroup.card_dvd_of_le · cited by 2AddSubgroup.card_dvd_of_leAddSubgroup.isAddCyclic_of_le · cited by 1AddSubgroup.isAddCyclic_o…AddSubgroup.inclusion_inj · cited by 0AddSubgroup.inclusion_injAddSubgroup.card_le_of_le · cited by 0AddSubgroup.card_le_of_leDFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddMonoidHom · cited by 3230AddMonoidHomSet.inclusion_injective · cited by 28Set.inclusion_injectiveAddSubgroup.inclusion · cited by 15AddSubgroup.inclusionAddSubgroup.inclusion_injecti…CITED BYCITES

Cites6

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Cited by4

Results whose statement or proof uses this declaration.