Theorems · Theorem · group theory
Submonoid.ofUnits_units_le
∀ {M : Type u_1} [inst : Monoid M] (S : Submonoid M), S.units.ofUnits ≤ S- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- SetLike.coeproof · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement and proof · cited by 3,086
- Unitsproof · cited by 2,804
- Subgroup.toSubmonoidproof · cited by 114
- Units.coeHomproof · cited by 44
- Submonoid.unitsstatement and proof · cited by 40
- Subgroup.ofUnitsstatement and proof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- ofUnits_units_gciproof · cited by 10