Theorems · Theorem · order theory
wcovBy_eq_reflGen_covBy
∀ {α : Type u_1} [inst : PartialOrder α], (fun x1 x2 => x1 ⩿ x2) = Relation.ReflGen fun x1 x2 => x1 ⋖ x2- Defined in
- Mathlib.Order.Cover
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrder
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.
- PartialOrderstatement and proof · cited by 6,410
- CovBystatement and proof · cited by 290
- WCovBystatement · cited by 107
- Relation.ReflGenstatement and proof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- le_iff_reflTransGen_covByproof · cited by 1
- reflTransGen_wcovBy_eq_reflTransGen_covByproof · cited by 0
- transGen_wcovBy_eq_reflTransGen_covByproof · cited by 0