Theorems · Inductive type · group theory
VAddMemClass
(S : Type u_1) → (R : outParam (Type u_2)) → (M : Type u_3) → [VAdd R M] → [SetLike S M] → Prop
VAddMemClass S R M says S is a type of subsets s ≤ M that are closed under the
additive 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
- 12 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.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by15
Results whose statement or proof uses this declaration.
- VAddMemClass.vadd_memstatement and proof · cited by 9
- SetLike.vadd_subset_selfstatement and proof · cited by 1
- SetLike.val_vaddstatement and proof · cited by 1
- SubAddAction.SMulMemClass.subtypestatement and proof · cited by 1
- VAddMemClass.ofVAddAssocClassstatement and proof · cited by 0
- RestrictedProduct.vadd_applystatement and proof · cited by 0
- VAddMemClass.recOnstatement and proof · cited by 0
- SetLike.vadd_defstatement and proof · cited by 0
- SetLike.vadd_of_tower_defstatement and proof · cited by 0
- SetLike.val_vadd_of_towerstatement and proof · cited by 0
- SetLike.addUnits_vaddstatement and proof · cited by 0
- SetLike.mk_vadd_mkstatement and proof · cited by 0