Mathlib Map

Theorems · Definition · group theory

SubAddAction.inclusion

{M : Type u_1} → {α : Type u_2} → [inst : AddMonoid M] → [inst_1 : AddAction M α] → (s : SubAddAction M α) → ↥s →ₑ[id] α

The inclusion of a SubAddAction into the ambient set, as an equivariant map.

Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction
Cited by
6 results in Mathlib
Foundations
Depth 14 from the axioms · uses no axioms
Assumes
AddMonoidAddAction
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

SubAddAction.inclusion.coe_eq · cited by 2inclusion.coe_eqSubAddAction.inclusion_injective · cited by 1SubAddAction.inclusion_in…SubAddAction.image_inclusion · cited by 0SubAddAction.image_inclus…SubAddAction.inclusion.toFun_eq_coe · cited by 0inclusion.toFun_eq_coeAddAction.isBlock_subtypeVal · cited by 0AddAction.isBlock_subtype…AddAction.IsBlock.subtype_val_preimage · cited by 0IsBlock.subtype_val_preim…AddMonoid · cited by 2864AddMonoidAddAction · cited by 820AddActionSubAddAction · cited by 86SubAddActionAddActionHom · cited by 82AddActionHomSubAddAction.inclusionCITED BYCITES

Cites4

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

Cited by6

Results whose statement or proof uses this declaration.