Theorems · Theorem · group theory
AddRightCancelMonoid.eq_zero_of_add_left
∀ {α : Type u} [inst : AddRightCancelMonoid α] [Subsingleton (AddUnits α)] {a b : α}, a + b = 0 → b = 0- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
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.
- zero_addproof · cited by 2,366
- AddUnitsstatement and proof · cited by 325
- AddRightCancelMonoidstatement and proof · cited by 25
- AddRightCancelMonoid.eq_zero_of_add_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddRightCancelMonoid.add_eq_zeroproof · cited by 1