Theorems · Theorem · group theory
eq_zero_of_add_right
∀ {α : Type u} [inst : AddCommMonoid α] [Subsingleton (AddUnits α)] {a b : α}, a + b = 0 → a = 0- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- AddCommMonoidSubsingleton
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.
- AddCommMonoidstatement and proof · cited by 12,281
- add_commproof · cited by 1,535
- AddUnitsstatement and proof · cited by 325
- AddUnits.negproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- add_eq_zeroproof · cited by 19