Theorems · Theorem · order theory
Multiset.inf_union
∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : OrderTop α] [inst_2 : DecidableEq α] (s₁ s₂ : Multiset α),
(s₁ ∪ s₂).inf = s₁.inf ⊓ s₂.inf- 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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Cites9
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
- SemilatticeInfstatement and proof · cited by 634
- OrderTopstatement and proof · cited by 493
- Multiset.infstatement and proof · cited by 19
- Multiset.mem_addproof · cited by 16
- Multiset.dedup_extproof · cited by 12
- Multiset.inf_dedupproof · cited by 3
- Multiset.inf_addproof · cited by 2
- Multiset.mem_unionproof · cited by 1
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