Theorems · Theorem · order theory
Set.bounded_self
∀ {α : Type u_1} {r : α → α → Prop} (a : α), Set.Bounded r {b | r b a}- Defined in
- Mathlib.Order.Bounded
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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.
- Set.ofPredstatement · cited by 6,101
- Set.Boundedstatement · cited by 57
Cited by4
Results whose statement or proof uses this declaration.
- Set.bounded_gt_Ioiproof · cited by 3
- Set.bounded_lt_Iioproof · cited by 3
- Set.bounded_le_Iicproof · cited by 2
- Set.bounded_ge_Iciproof · cited by 2