Theorems · Theorem · order theory
directed_id_iff
∀ {α : Type u_1} {r : α → α → Prop}, Directed r id ↔ IsDirected α r- Defined in
- Mathlib.Order.Directed
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
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 · cited by 16
- isDirected_onFunproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Filter.map_val_atBot_of_Iic_subsetproof · cited by 3
- Filter.map_val_atTop_of_Ici_subsetproof · cited by 3