Theorems · Theorem · group theory
IsAddUnit.addUnit_sub
∀ {α : Type u} [inst : SubtractionMonoid α] {a b : α} (ha : IsAddUnit a) (hb : IsAddUnit b),
⋯.addUnit = ha.addUnit - hb.addUnit- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- 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_sub_eq_sub_valproof · cited by 1
- IsAddUnit.substatement · cited by 1
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