Theorems · Theorem · group theory
AddUnits.val_inj
∀ {α : Type u} [inst : AddMonoid α] {a b : AddUnits α}, ↑a = ↑b ↔ a = b- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 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 · cited by 248
- AddUnits.val_injectiveproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- AddUnits.val_eq_zeroproof · cited by 0
- Set.subset_addCenter_add_unitsproof · cited by 0