Theorems · Theorem · group theory
AddCommute.vadd_left
∀ {M : Type u_1} {α : Type u_5} [inst : VAdd M α] [inst_1 : Add α] [VAddCommClass M α α] [VAddAssocClass M α α]
{a b : α}, AddCommute a b → ∀ (r : M), AddCommute (r +ᵥ a) b- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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Cites6
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
- AddCommutestatement and proof · cited by 185
- VAddAssocClassstatement and proof · cited by 60
- VAddCommClassstatement and proof · cited by 41
- AddSemiconjBy.vadd_leftproof · cited by 2
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