Theorems · Theorem · combinatorics
Finset.filter_val
∀ {α : Type u_1} (p : α → Prop) [inst : DecidablePred p] (s : Finset α),
(Finset.filter p s).val = Multiset.filter p s.val- Defined in
- Mathlib.Data.Finset.Filter
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- DecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Multisetstatement · cited by 2,627
- Finset.filterstatement · cited by 949
- Finset.valstatement · cited by 438
- Multiset.filterstatement · cited by 102
Cited by10
Results whose statement or proof uses this declaration.
- Nat.filter_multiset_Ico_card_eq_of_periodicproof · cited by 1
- Multiset.Ico_filter_leproof · cited by 0
- Multiset.Ico_filter_le_leftproof · cited by 0
- Multiset.Ico_filter_le_of_le_leftproof · cited by 0
- Multiset.Ico_filter_le_of_left_leproof · cited by 0
- Multiset.Ico_filter_le_of_right_leproof · cited by 0
- Multiset.Ico_filter_ltproof · cited by 0
- Multiset.Ico_filter_lt_of_le_leftproof · cited by 0
- Multiset.Ico_filter_lt_of_le_rightproof · cited by 0
- Multiset.Ico_filter_lt_of_right_leproof · cited by 0