Theorems · Theorem · combinatorics
Multiset.sub_filter_eq_filter_not
∀ {α : Type u_1} [inst : DecidableEq α] (p : α → Prop) [inst_1 : DecidablePred p] (s : Multiset α),
s - Multiset.filter p s = Multiset.filter (fun a => ¬p a) s- Defined in
- Mathlib.Data.Multiset.Filter
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqDecidablePred
Around this declaration
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Cites7
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
- Multiset.countproof · cited by 302
- Multiset.filterstatement and proof · cited by 102
- Multiset.ext'proof · cited by 31
- Multiset.count_eq_zero_of_notMemproof · cited by 27
- Multiset.count_subproof · cited by 12
- Multiset.count_filter_of_posproof · cited by 5
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