Theorems · Theorem · group theory
vadd_assoc
∀ {α : Type u_5} {M : Type u_9} {N : Type u_10} [inst : VAdd M N] [inst_1 : VAdd N α] [inst_2 : VAdd M α]
[VAddAssocClass M N α] (x : M) (y : N) (z : α), (x +ᵥ y) +ᵥ z = x +ᵥ y +ᵥ z- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- VAddVAddVAddVAddAssocClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- VAddAssocClassstatement and proof · cited by 60
- VAddAssocClass.vadd_assocproof · cited by 5
Cited by18
Results whose statement or proof uses this declaration.
- vadd_zero_vaddproof · cited by 8
- vadd_add_assocproof · cited by 8
- vadd_vadd_vadd_commproof · cited by 2
- CovByVAdd.transproof · cited by 2
- AddAction.le_stabilizer_vadd_leftproof · cited by 1
- AffineSubspace.wOppSide_iff_exists_wbtwproof · cited by 1
- vadd_singleton_mem_nhds_of_sigmaCompactproof · cited by 1
- AddAction.stabilizer_vadd_eq_leftproof · cited by 1
- SubAddAction.vadd_of_tower_memproof · cited by 1
- AddAction.isBlock_addSubgroupproof · cited by 0
- AddAction.isBlock_addSubgroup'proof · cited by 0
- Equiv.vaddAssocClassproof · cited by 0