Theorems · Theorem · group theory
RightCancelMonoid.mul_ne_one
∀ {α : Type u} [inst : RightCancelMonoid α] [Subsingleton αˣ] {a b : α}, a * b ≠ 1 ↔ a ≠ 1 ∨ b ≠ 1- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
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- Unitsstatement and proof · cited by 2,804
- not_iff_commproof · cited by 32
- RightCancelMonoidstatement and proof · cited by 18
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