Theorems · Theorem · group theory
AddUnits.addCommute_coe_neg
∀ {α : Type u} [inst : AddMonoid α] (a : AddUnits α), AddCommute ↑a ↑(-a)- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement and proof · cited by 248
- AddCommutestatement · cited by 185
- AddUnits.add_negproof · cited by 19
- AddUnits.neg_addproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- AddUnits.addCommute_neg_coeproof · cited by 0