Theorems · Theorem · order theory
directedOn_univ
∀ {α : Type u_1} {r : α → α → Prop} [IsDirected α r], DirectedOn r Set.univ- Defined in
- Mathlib.Order.Directed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- IsDirected
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.
- Set.univstatement and proof · cited by 3,945
- DirectedOnstatement · cited by 271
- IsDirectedstatement and proof · cited by 16
- directed_ofproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- directedOn_univ_iffproof · cited by 0