Theorems · Theorem · group theory
AddUnits.val_zero
∀ {α : Type u} [inst : AddMonoid α], ↑0 = 0- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 · cited by 325
- AddUnits.valstatement · cited by 248
Cited by4
Results whose statement or proof uses this declaration.
- AddUnits.coeHomproof · cited by 15
- gcd_nsmul_eq_zeroproof · cited by 3
- AddUnits.val_eq_zeroproof · cited by 0
- AddOreLocalization.universalAddHom_uniqueproof · cited by 0