Theorems · Theorem · group theory
ofAddUnits_le_iff_le_addUnits
∀ {M : Type u_1} [inst : AddMonoid M] (S : AddSubmonoid M) (H : AddSubgroup (AddUnits M)),
H.ofAddUnits ≤ S ↔ H ≤ S.addUnits- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- AddMonoid
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement and proof · cited by 1,178
- AddUnitsstatement and proof · cited by 325
- AddSubmonoid.addUnitsstatement · cited by 32
- AddSubgroup.ofAddUnitsstatement · cited by 30
- ofAddUnits_addUnits_gcproof · cited by 11
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