Theorems · Theorem · group theory
AddUnits.vadd_neg
∀ {G : Type u_1} {M : Type u_3} [inst : AddGroup G] [inst_1 : AddMonoid M] [inst_2 : AddAction G M]
[inst_3 : VAddCommClass G M M] [inst_4 : VAddAssocClass G M M] (g : G) (m : AddUnits M), -(g +ᵥ m) = -g +ᵥ -m- Defined in
- Mathlib.Algebra.Group.Action.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
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Cites8
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
- AddMonoidstatement and proof · cited by 2,864
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddUnitsstatement and proof · cited by 325
- VAddAssocClassstatement and proof · cited by 60
- VAddCommClassstatement and proof · cited by 41
- AddUnits.extproof · cited by 25
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