Theorems · Definition · order theory
Multiset.Icc
{α : Type u_1} → [inst : Preorder α] → [LocallyFiniteOrder α] → α → α → Multiset αThe multiset of elements x such that a ≤ x and x ≤ b. Basically Set.Icc a b as a
multiset.
- Defined in
- Mathlib.Order.Interval.Multiset
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- 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
- Finset.valproof · cited by 438
- Finset.Iccproof · cited by 348
Cited by14
Results whose statement or proof uses this declaration.
- Multiset.map_add_left_Iccstatement and proof · cited by 1
- Multiset.Icc_eq_zerostatement · cited by 1
- Multiset.Icc_eq_zero_iffstatement · cited by 1
- Multiset.card_Ioc_eq_card_Icc_sub_onestatement · cited by 0
- Multiset.right_mem_Iccstatement · cited by 0
- Multiset.card_Ioo_eq_card_Icc_sub_twostatement · cited by 0
- Multiset.map_add_right_Iccstatement and proof · cited by 0
- Multiset.left_mem_Iccstatement · cited by 0
- Multiset.mem_Iccstatement · cited by 0
- Multiset.card_Ico_eq_card_Icc_sub_onestatement · cited by 0
- Multiset.Icc_eq_zero_of_ltstatement · cited by 0
- Multiset.Icc_selfstatement · cited by 0