Theorems · Theorem · order theory
Finset.Ico_inter_Ico
∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : LocallyFiniteOrder α] {a b c d : α},
Finset.Ico a b ∩ Finset.Ico c d = Finset.Ico (max a c) (min b d)- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Finsetstatement · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- SetLike.coeproof · cited by 8,199
- Set.Icoproof · cited by 799
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- Finset.coe_Icoproof · cited by 66
- Finset.coe_injproof · cited by 41
- Finset.coe_interproof · cited by 27
- Set.Ico_inter_Icoproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.Ico_inter_Icoproof · cited by 0