Theorems · Inductive type · group theory
SMulMemClass
(S : Type u_1) → (R : outParam (Type u_2)) → (M : Type u_3) → [SMul R M] → [SetLike S M] → Prop
SMulMemClass S R M says S is a type of subsets s ≤ M that are closed under the
scalar action of R on M.
Note that only R is marked as an outParam here, since M is supplied by the SetLike
class instead.
- Cited by
- 77 results in Mathlib
- Foundations
- Depth 2 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.
- SetLikestatement · cited by 1,084
Cited by96
Results whose statement or proof uses this declaration.
- SMulMemClass.smul_memstatement and proof · cited by 55
- algebraMap_memstatement and proof · cited by 23
- NonUnitalSubalgebraClass.subtypestatement and proof · cited by 9
- NonUnitalStarSubalgebraClass.subtypestatement and proof · cited by 8
- NonUnitalStarSubalgebra.unitizationstatement and proof · cited by 4
- StrongDual.polarSubmodulestatement and proof · cited by 4
- SubMulAction.SMulMemClass.subtypestatement and proof · cited by 3
- SetLike.val_smulstatement and proof · cited by 3
- SMulMemClass.ofIsScalarTowerstatement and proof · cited by 3
- SMulMemClass.subtypestatement and proof · cited by 3
- SubalgebraClass.valstatement and proof · cited by 3
- NonUnitalSubalgebra.unitizationstatement and proof · cited by 3