Theorems · Theorem · order theory
Multiset.Ico_inter_Ico
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : LocallyFiniteOrder α] {a b c d : α},
Multiset.Ico a b ∩ Multiset.Ico c d = Multiset.Ico (max a c) (min b d)- Defined in
- Mathlib.Order.Interval.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- Multisetstatement and proof · cited by 2,627
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icoproof · cited by 450
- Finset.valproof · cited by 438
- Multiset.Icostatement and proof · cited by 32
- Finset.inter_valproof · cited by 2
- Finset.Ico_inter_Icoproof · cited by 1
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