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Theorems · Theorem · group theory

VAddAssocClass.vadd_assoc

∀ {M : Type u_9} {N : Type u_10} {α : Type u_11} {inst : VAdd M N} {inst_1 : VAdd N α} {inst_2 : VAdd M α}
  [self : VAddAssocClass M N α] (x : M) (y : N) (z : α), (x +ᵥ y) +ᵥ z = x +ᵥ y +ᵥ z

Associativity of +ᵥ

Defined in
Mathlib.Algebra.Group.Action.Defs
Cited by
5 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
VAddAssocClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

vadd_assoc · cited by 18vadd_assocVAddAssocClass.to₁₂₃ · cited by 0VAddAssocClass.to₁₂₃VAddAssocClass.to₁₂₄ · cited by 0VAddAssocClass.to₁₂₄VAddAssocClass.to₁₃₄ · cited by 0VAddAssocClass.to₁₃₄VAddAssocClass.to₂₃₄ · cited by 0VAddAssocClass.to₂₃₄HVAdd.hVAdd · cited by 1820HVAdd.hVAddVAdd · cited by 616VAddVAddAssocClass · cited by 60VAddAssocClassVAddAssocClass.vadd_assocCITED BYCITES

Cites3

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Cited by5

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