Theorems · Theorem · order theory
Multiset.inf_mono
∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : OrderTop α] {s₁ s₂ : Multiset α}, s₁ ⊆ s₂ → s₂.inf ≤ s₁.inf- Defined in
- Mathlib.Data.Multiset.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeInfOrderTop
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
- SemilatticeInfstatement and proof · cited by 634
- OrderTopstatement and proof · cited by 493
- Multiset.infstatement · cited by 19
- Multiset.le_infproof · cited by 3
- Multiset.inf_leproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.