Theorems · Theorem · group theory
Subsingleton.addUnits_of_isAddUnit
∀ {M : Type u_1} [inst : AddMonoid M], (∀ (a : M), IsAddUnit a → a = 0) → Subsingleton (AddUnits M)- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- AddMonoid
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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.valproof · cited by 248
- IsAddUnitstatement and proof · cited by 215
- AddUnits.extproof · cited by 25
- AddUnits.isAddUnitproof · cited by 14
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