Mathlib Map

Theorems · Theorem · group theory

SubAddAction.inclusion_injective

∀ {M : Type u_1} {α : Type u_2} [inst : AddMonoid M] [inst_1 : AddAction M α] (s : SubAddAction M α),
  Function.Injective ⇑s.inclusion
Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses no axioms
Assumes
AddMonoidAddAction
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AddAction.isBlock_subtypeVal · cited by 0AddAction.isBlock_subtype…DFunLike.coe · cited by 62936DFunLike.coeAddMonoid · cited by 2864AddMonoidAddAction · cited by 820AddActionSubtype.val_injective · cited by 232Subtype.val_injectiveSubAddAction · cited by 86SubAddActionAddActionHom · cited by 82AddActionHomSubAddAction.inclusion · cited by 6SubAddAction.inclusionSubAddAction.inclusion_inject…CITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.