Theorems · Definition · order theory
Contravariant.toRightCancelSemigroup
{α : Type u_1} → [inst : Semigroup α] → [inst_1 : PartialOrder α] → [MulRightReflectLE α] → RightCancelSemigroup αA semigroup with a partial order and satisfying RightCancelSemigroup
(i.e. a * c < b * c → a < b) is a RightCancelSemigroup.
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- Depth 9 from the axioms · uses no axioms
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- PartialOrderstatement and proof · cited by 6,410
- Semigroupstatement and proof · cited by 202
- MulRightReflectLEstatement and proof · cited by 7
- RightCancelSemigroupstatement · cited by 3
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