Theorems · Theorem · group theory
vadd_add_assoc
∀ {α : Type u_5} {β : Type u_6} [inst : Add β] [inst_1 : VAdd α β] [VAddAssocClass α β β] (r : α) (x y : β),
(r +ᵥ x) + y = r +ᵥ x + y- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddVAddVAddAssocClass
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
- vadd_assocproof · cited by 18
Cited by8
Results whose statement or proof uses this declaration.
- AddSemiconjBy.vadd_leftproof · cited by 2
- AddSemiconjBy.vadd_rightproof · cited by 2
- faithfulVAdd_iff_injective_vadd_zeroproof · cited by 2
- Set.exists_vadd_inter_vadd_subset_vadd_neg_add_inter_neg_addproof · cited by 1
- vadd_zero_addproof · cited by 1
- vadd_sub_assocproof · cited by 0
- AddSubmonoid.nsmul_vadd_mem_closure_vaddproof · cited by 0
- Finset.addDysonETransform.subsetproof · cited by 0