Theorems · Theorem · group theory
AddRightCancelMonoid.add_ne_zero
∀ {α : Type u} [inst : AddRightCancelMonoid α] [Subsingleton (AddUnits α)] {a b : α}, a + b ≠ 0 ↔ a ≠ 0 ∨ b ≠ 0- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddUnitsstatement and proof · cited by 325
- not_iff_commproof · cited by 32
- AddRightCancelMonoidstatement and proof · cited by 25
- AddRightCancelMonoid.add_eq_zeroproof · cited by 1
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