Theorems · Theorem · group theory
AddCommute.vadd_left_iff
∀ {G : Type u_3} {H : Type u_4} [inst : AddGroup G] {g : G} [inst_1 : Add H] [inst_2 : AddAction G H]
[VAddCommClass G H H] [VAddAssocClass G H H] {a b : H}, AddCommute (g +ᵥ a) b ↔ AddCommute a b- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddCommutestatement · cited by 185
- VAddAssocClassstatement and proof · cited by 60
- VAddCommClassstatement and proof · cited by 41
- AddSemiconjBy.vadd_left_iffproof · cited by 1
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