Theorems · Theorem · order theory
Multiset.left_notMem_Ioo
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α] {a b : α}, a ∉ Multiset.Ioo a b- Defined in
- Mathlib.Order.Interval.Multiset
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 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.
Cites5
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
- Multiset.Ioostatement · cited by 13
- Finset.left_notMem_Iooproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.Ioo_cons_leftproof · cited by 0