Theorems · Definition · group theory
Units.val
{α : Type u} → [inst : Monoid α] → αˣ → αThe underlying value in the base Monoid.
- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 1,966 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by2,127
Results whose statement or proof uses this declaration.
- IsUnitproof · cited by 1,602
- Associatedproof · cited by 296
- IsUnit.unitproof · cited by 252
- Ring.inverseproof · cited by 160
- normalizeproof · cited by 137
- Units.isUnitstatement · cited by 116
- IsUnit.mapproof · cited by 104
- Units.mapproof · cited by 95
- Associated.symmproof · cited by 87
- Units.extstatement and proof · cited by 86
- UpperHalfPlane.denomproof · cited by 84
- Units.ne_zerostatement · cited by 68
Showing the 200 most cited of 2,127.