Theorems · Theorem · group theory
AddUnits.ext_iff
∀ {α : Type u} [inst : AddMonoid α] {u v : AddUnits α}, u = v ↔ ↑u = ↑v- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 and proof · cited by 325
- AddUnits.valstatement and proof · cited by 248
- AddUnits.extproof · cited by 25
Cited by4
Results whose statement or proof uses this declaration.
- gcd_nsmul_eq_zeroproof · cited by 3
- AddMonoidHom.ker_toHomAddUnitsproof · cited by 0
- AddUnits.neg_mul_negproof · cited by 0
- AddUnits.val_neg_injproof · cited by 0