Theorems · Theorem · order theory
directed_id
∀ {α : Type u_1} {r : α → α → Prop} [IsDirected α r], Directed r id- Defined in
- Mathlib.Order.Directed
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- IsDirected
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Directedstatement · cited by 213
- IsDirectedstatement and proof · cited by 16
- directed_ofproof · cited by 14
Cited by7
Results whose statement or proof uses this declaration.
- directed_of_isDirected_leproof · cited by 8
- Finite.exists_leproof · cited by 4
- Finset.exists_leproof · cited by 4
- directed_of_isDirected_geproof · cited by 3
- Finite.exists_geproof · cited by 1
- Set.Finite.exists_geproof · cited by 0
- Set.Finite.exists_leproof · cited by 0