Theorems · Theorem · order theory
Finset.Ico_filter_le_of_right_le
∀ {α : Type u_2} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α] {a b : α} [inst_2 : DecidablePred fun x => b ≤ x],
{x ∈ Finset.Ico a b | b ≤ x} = ∅- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Finset.filterstatement · cited by 949
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- LT.lt.not_geproof · cited by 305
- Finset.mem_Icoproof · cited by 50
- Finset.filter_false_of_memproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.Ico_filter_le_of_right_leproof · cited by 0