Theorems · Theorem · order theory
isUpperSet_Ioi
∀ {α : Type u_1} [inst : Preorder α] (a : α), IsUpperSet (Set.Ioi a)- Defined in
- Mathlib.Order.UpperLower.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Preorder
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.
- Preorderstatement and proof · cited by 7,952
- Set.Ioistatement · cited by 1,463
- lt_of_lt_of_leproof · cited by 438
- IsUpperSetstatement · cited by 148
Cited by2
Results whose statement or proof uses this declaration.
- UpperSet.Ioiproof · cited by 15
- not_bddAbove_Ioiproof · cited by 0