Theorems · Inductive type · group theory
IsCentralVAdd
(M : Type u_9) → (α : Type u_10) → [VAdd M α] → [VAdd Mᵃᵒᵖ α] → Prop
A typeclass indicating that the right (aka AddOpposite) and left actions by M on α are
equal, that is that M acts centrally on α. This can be thought of as a version of commutativity
for +ᵥ.
- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 5 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.
- VAddstatement · cited by 616
- AddOppositestatement · cited by 452
Cited by7
Results whose statement or proof uses this declaration.
- IsCentralVAdd.op_vadd_eq_vaddstatement and proof · cited by 6
- IsCentralVAdd.unop_vadd_eq_vaddstatement and proof · cited by 1
- AddOpposite.op_vadd_eq_op_vadd_opstatement and proof · cited by 0
- IsCentralVAdd.casesOnstatement and proof · cited by 0
- Equiv.isCentralVAddstatement and proof · cited by 0
- AddOpposite.unop_vadd_eq_unop_vadd_unopstatement and proof · cited by 0
- IsCentralVAdd.recOnstatement and proof · cited by 0