Theorems · Theorem · order theory
Multiset.sup_mono
∀ {α : Type u_1} [inst : SemilatticeSup α] [inst_1 : OrderBot α] {s₁ s₂ : Multiset α}, s₁ ⊆ s₂ → s₁.sup ≤ s₂.sup- Defined in
- Mathlib.Data.Multiset.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeSupOrderBot
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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
- OrderBotstatement and proof · cited by 1,055
- SemilatticeSupstatement and proof · cited by 785
- Multiset.supstatement · cited by 20
- Multiset.sup_leproof · cited by 3
- Multiset.le_supproof · cited by 1
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