Mathlib Map

Theorems · Theorem · group theory

Subgroup.inclusion_injective

∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G} (h : H ≤ K), Function.Injective ⇑(Subgroup.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
Group
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Subgroup.card_dvd_of_le · cited by 5Subgroup.card_dvd_of_leSubgroup.isCyclic_of_le · cited by 3Subgroup.isCyclic_of_leSubgroup.inclusion_inj · cited by 0Subgroup.inclusion_injSubgroup.card_le_of_le · cited by 0Subgroup.card_le_of_leDFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593SubgroupSet.inclusion_injective · cited by 28Set.inclusion_injectiveSubgroup.inclusion · cited by 21Subgroup.inclusionSubgroup.inclusion_injectiveCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.