Theorems · Theorem · order theory
Multiset.Ioo_eq_zero_of_le
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α] {a b : α}, b ≤ a → Multiset.Ioo a b = 0- Defined in
- Mathlib.Order.Interval.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderLocallyFiniteOrder
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Multisetstatement · cited by 2,627
- LocallyFiniteOrderstatement and proof · cited by 658
- LE.le.not_gtproof · cited by 189
- Multiset.Ioostatement · cited by 13
- Multiset.Ioo_eq_zeroproof · cited by 1
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