Theorems · Theorem · order theory
Multiset.Ico_disjoint_Ico
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] {a b c d : α},
b ≤ c → Disjoint (Multiset.Ico a b) (Multiset.Ico c d)- Defined in
- Mathlib.Order.Interval.Multiset
- Cited by
- 2 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- LE.le.transproof · cited by 3,151
- Multisetstatement · cited by 2,627
- Disjointstatement · cited by 2,201
- LocallyFiniteOrderstatement and proof · cited by 658
- LT.lt.not_geproof · cited by 305
- Multiset.Icostatement and proof · cited by 32
- Multiset.disjoint_leftproof · cited by 9
- Multiset.mem_Icoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.Ico_add_Ico_eq_Icoproof · cited by 0
- Multiset.Ico_inter_Ico_of_leproof · cited by 0