Theorems · Theorem · group theory
Subgroup.ofUnits_sup_units
∀ {M : Type u_1} [inst : Monoid M] (S T : Subgroup Mˣ), (S.ofUnits ⊔ T.ofUnits).units = S ⊔ T- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement · cited by 3,086
- Unitsstatement and proof · cited by 2,804
- Submonoid.unitsstatement · cited by 40
- Subgroup.ofUnitsstatement · cited by 31
- ofUnits_units_gciproof · cited by 10
- GaloisCoinsertion.u_sup_lproof · cited by 9
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