Theorems · Theorem · group theory
AddCommute.neg
∀ {G : Type u_1} [inst : SubtractionMonoid G] {a b : G}, AddCommute a b → -(a + b) = -a + -b- Defined in
- Mathlib.Algebra.Group.Commute.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- SubtractionMonoid
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- neg_add_revproof · cited by 236
- SubtractionMonoidstatement and proof · cited by 208
- AddCommutestatement and proof · cited by 185
- AddCommute.eqproof · cited by 18
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