Theorems · Theorem · group theory
IsAddUnit.addUnit_neg
∀ {α : Type u} [inst : SubtractionMonoid α] {a : α} (h : IsAddUnit a), ⋯.addUnit = -h.addUnit- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses Classical.choice
- Assumes
- SubtractionMonoid
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddUnitsstatement · cited by 325
- IsAddUnitstatement and proof · cited by 215
- SubtractionMonoidstatement and proof · cited by 208
- IsAddUnit.addUnitstatement and proof · cited by 30
- AddUnits.extproof · cited by 25
- AddUnits.val_neg_eq_neg_valproof · cited by 8
- IsAddUnit.negstatement · cited by 3
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