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Theorems · Theorem · order theory

Multiset.inf_zero

∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : OrderTop α], Multiset.inf 0 = ⊤
Defined in
Mathlib.Data.Multiset.Lattice
Cited by
4 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
SemilatticeInfOrderTop
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Multiset.le_inf · cited by 3Multiset.le_infMultiset.trop_inf · cited by 1Multiset.trop_infIdeal.multiset_prod_le_inf · cited by 1Ideal.multiset_prod_le_infMultiset.untrop_sum · cited by 1Multiset.untrop_sumTop.top · cited by 9680Top.topMultiset · cited by 2627MultisetSemilatticeInf · cited by 634SemilatticeInfOrderTop · cited by 493OrderTopMultiset.inf · cited by 19Multiset.infMultiset.fold_zero · cited by 6Multiset.fold_zeroMultiset.inf_zeroCITED BYCITES

Cites6

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Cited by4

Results whose statement or proof uses this declaration.