Theorems · Theorem · order theory
Multiset.le_sup
∀ {α : Type u_1} [inst : SemilatticeSup α] [inst_1 : OrderBot α] {s : Multiset α} {a : α}, a ∈ s → a ≤ s.sup- Defined in
- Mathlib.Data.Multiset.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeSupOrderBot
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.
- Multisetstatement and proof · cited by 2,627
- le_rflproof · cited by 1,558
- OrderBotstatement and proof · cited by 1,055
- SemilatticeSupstatement and proof · cited by 785
- Multiset.supstatement · cited by 20
- Multiset.sup_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.sup_monoproof · cited by 0