Theorems · Inductive type · group theory
MulActionSemiHomClass
(F : Type u_8) →
{M : outParam (Type u_9)} →
{N : outParam (Type u_10)} →
outParam (M → N) →
(X : outParam (Type u_11)) → (Y : outParam (Type u_12)) → [SMul M X] → [SMul N Y] → [FunLike F X Y] → PropMulActionSemiHomClass F φ X Y states that
F is a type of morphisms which are φ-equivariant.
You should extend this class when you extend MulActionHom.
- Defined in
- Mathlib.GroupTheory.GroupAction.Hom
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FunLikestatement · cited by 2,560
Cited by25
Results whose statement or proof uses this declaration.
- MulActionSemiHomClass.map_smulₛₗstatement and proof · cited by 49
- MulActionHomClassproof · cited by 16
- MulActionSemiHomClass.toMulActionHomstatement and proof · cited by 5
- continuousSMul_inducedₛₗstatement and proof · cited by 4
- preimage_smul_setₛₗ_of_isUnit_isUnitstatement and proof · cited by 3
- IsUnit.preimage_smul_setₛₗstatement and proof · cited by 3
- smul_preimage_set_subsetₛₗstatement and proof · cited by 2
- Set.MapsTo.smul_setₛₗstatement and proof · cited by 2
- image_smul_setₛₗstatement and proof · cited by 2
- IsSelfAdjoint.linearly_dependent_of_isLocalExtrOnproof · cited by 1
- preimage_smul_setₛₗ'statement and proof · cited by 1
- Group.preimage_smul_setₛₗstatement and proof · cited by 1