Theorems · Theorem · combinatorics
Finset.filter_inter_distrib
∀ {α : Type u_1} (p : α → Prop) [inst : DecidablePred p] [inst_1 : DecidableEq α] (s t : Finset α),
Finset.filter p (s ∩ t) = Finset.filter p s ∩ Finset.filter p t- Defined in
- Mathlib.Data.Finset.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePredDecidableEq
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.
- Finsetstatement and proof · cited by 13,712
- Finset.filterstatement · cited by 949
Cited by4
Results whose statement or proof uses this declaration.
- Finset.nonMemberSubfamily_interproof · cited by 1
- Finset.memberSubfamily_interproof · cited by 1
- Finset.disjSups_inter_subset_leftproof · cited by 0
- Finset.disjSups_inter_subset_rightproof · cited by 0