Theorems · Theorem · group theory
VAddCommClass.vadd_comm
∀ {M : Type u_9} {N : Type u_10} {α : Type u_11} {inst : VAdd M α} {inst_1 : VAdd N α} [self : VAddCommClass M N α]
(m : M) (n : N) (a : α), m +ᵥ n +ᵥ a = n +ᵥ m +ᵥ a+ᵥ is left commutative
- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- VAddCommClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement and proof · cited by 616
- VAddCommClassstatement and proof · cited by 41
Cited by20
Results whose statement or proof uses this declaration.
- add_vadd_commproof · cited by 6
- vadd_vadd_vadd_commproof · cited by 2
- cauchy_davenport_minOrder_addproof · cited by 2
- AddAction.le_stabilizer_vadd_rightproof · cited by 1
- MeasureTheory.IsAddFundamentalDomain.vadd_of_commproof · cited by 1
- AffineSpace.vadd_asymptoticNhdsproof · cited by 1
- VAddCommClass.symmproof · cited by 1
- VAddCommClass.toAddActionHomproof · cited by 1
- VAdd.comp.vaddCommClass'proof · cited by 0
- vadd_segmentproof · cited by 0
- Finset.op_vadd_addConvolution_eq_addConvolution_vaddproof · cited by 0
- Equiv.vaddCommClassproof · cited by 0