Theorems · Theorem · order theory
Multiset.inf_add
∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : OrderTop α] (s₁ s₂ : Multiset α), (s₁ + s₂).inf = s₁.inf ⊓ s₂.inf- Defined in
- Mathlib.Data.Multiset.Lattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeInfOrderTop
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Multisetstatement and proof · cited by 2,627
- SemilatticeInfstatement and proof · cited by 634
- OrderTopstatement and proof · cited by 493
- inf_of_le_leftproof · cited by 186
- Multiset.foldproof · cited by 38
- Std.ge_reflproof · cited by 23
- Multiset.infstatement · cited by 19
- Multiset.fold_addproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.inf_unionproof · cited by 0
- Multiset.inf_ndunionproof · cited by 0