Theorems · Definition · order theory
partialOrderOfSO
{α : Type u} → (r : α → α → Prop) → [IsStrictOrder α r] → PartialOrder αConstruct a partial order from an isStrictOrder relation.
See note [reducible non-instances].
- Defined in
- Mathlib.Order.RelClasses
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- IsStrictOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement · cited by 6,410
- IsStrictOrderstatement and proof · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- linearOrderOfSTOproof · cited by 11