Mathlib Map

Theorems · Definition · group theory

SubMulAction.inclusion

{M : Type u_1} → {α : Type u_2} → [inst : Monoid M] → [inst_1 : MulAction M α] → (s : SubMulAction M α) → ↥s →ₑ[id] α

The inclusion of a SubMulAction 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
MonoidMulAction
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

SubMulAction.inclusion.coe_eq · cited by 2inclusion.coe_eqSubMulAction.inclusion_injective · cited by 1SubMulAction.inclusion_in…MulAction.isBlock_subtypeVal · cited by 0MulAction.isBlock_subtype…MulAction.IsBlock.subtype_val_preimage · cited by 0IsBlock.subtype_val_preim…SubMulAction.inclusion.toFun_eq_coe · cited by 0inclusion.toFun_eq_coeSubMulAction.image_inclusion · cited by 0SubMulAction.image_inclus…Monoid · cited by 3887MonoidMulAction · cited by 1294MulActionMulActionHom · cited by 124MulActionHomSubMulAction · cited by 120SubMulActionSubMulAction.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.