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Theorems · Theorem · group theory

AddDistribAddAction.vadd_add

∀ {M : Type u_9} {N : Type u_10} {inst : AddMonoid M} {inst_1 : AddMonoid N} [self : AddDistribAddAction M N] (r : M)
  (x y : N), r +ᵥ x + y = (r +ᵥ x) + (r +ᵥ y)

Distributivity of +ᵥ across +

Defined in
Mathlib.Algebra.Group.Action.Defs
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
AddDistribAddAction
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vadd_add' · cited by 0vadd_add'AddMonoid · cited by 2864AddMonoidHVAdd.hVAdd · cited by 1820HVAdd.hVAddAddDistribAddAction · cited by 5AddDistribAddActionAddDistribAddAction.vadd_addCITED BYCITES

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Cited by1

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