Theorems · Theorem · order theory
Multiset.mem_Icc
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α] {a b x : α}, x ∈ Multiset.Icc a b ↔ a ≤ x ∧ x ≤ b- Defined in
- Mathlib.Order.Interval.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderLocallyFiniteOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 and proof · cited by 2,627
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.mem_Iccproof · cited by 39
- Finset.mem_defproof · cited by 15
- Multiset.Iccstatement · cited by 14
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