Theorems · Theorem · combinatorics
Multiset.filter_le
∀ {α : Type u_1} (p : α → Prop) [inst : DecidablePred p] (s : Multiset α), Multiset.filter p s ≤ s- Defined in
- Mathlib.Data.Multiset.Filter
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- DecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.filterstatement · cited by 102
Cited by6
Results whose statement or proof uses this declaration.
- Polynomial.count_map_rootsproof · cited by 2
- Multiset.filter_subsetproof · cited by 2
- Multiset.card_filter_le_iffproof · cited by 1
- Multiset.le_filterproof · cited by 1
- Multiset.filter_interproof · cited by 0
- Multiset.prod_X_sub_C_dvd_iff_le_rootsproof · cited by 0