Theorems · Definition · order theory
LocallyFiniteOrderBot.finsetIio
{α : Type u_1} → {inst : Preorder α} → [self : LocallyFiniteOrderBot α] → α → Finset αLeft-infinite right-open interval
- Defined in
- Mathlib.Order.Interval.Finset.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- LocallyFiniteOrderBot
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.
- Finsetstatement · cited by 13,712
- Preorderstatement and proof · cited by 7,952
- LocallyFiniteOrderBotstatement and proof · cited by 286
Cited by2
Results whose statement or proof uses this declaration.
- Finset.Iioproof · cited by 147
- LocallyFiniteOrderBot.finset_mem_Iiostatement · cited by 1