Theorems · Theorem · order theory
Multiset.sup_union
∀ {α : Type u_1} [inst : SemilatticeSup α] [inst_1 : OrderBot α] [inst_2 : DecidableEq α] (s₁ s₂ : Multiset α),
(s₁ ∪ s₂).sup = s₁.sup ⊔ s₂.sup- Defined in
- Mathlib.Data.Multiset.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- OrderBotstatement and proof · cited by 1,055
- SemilatticeSupstatement and proof · cited by 785
- Multiset.supstatement and proof · cited by 20
- Multiset.dedup_extproof · cited by 12
- Multiset.sup_dedupproof · cited by 3
- Multiset.sup_addproof · cited by 2
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