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Theorems · Theorem · order theory

Multiset.zero_inter

∀ {α : Type u_1} [inst : DecidableEq α] (s : Multiset α), 0 ∩ s = 0
Defined in
Mathlib.Data.Multiset.UnionInter
Cited by
3 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
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Around this declaration

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

Multiset.inter_le_right · cited by 6Multiset.inter_le_rightMultiset.le_inter · cited by 4Multiset.le_interMultiset.sub_add_inter · cited by 3Multiset.sub_add_interMultiset · cited by 2627MultisetMultiset.ofList · cited by 290Multiset.ofListList.nil_bagInter · cited by 3List.nil_bagInterMultiset.zero_interCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.