Theorems · Theorem · combinatorics
Finset.filter_false
∀ {α : Type u_1} {h : DecidablePred fun x => False} (s : Finset α), {x ∈ s | False} = ∅- Defined in
- Mathlib.Data.Finset.Filter
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Finset.extproof · cited by 565
Cited by14
Results whose statement or proof uses this declaration.
- AlgebraicTopology.DoldKan.decomposition_Qproof · cited by 4
- meromorphicNFAt_prodproof · cited by 3
- BoxIntegral.HasIntegral.of_bRiemann_eq_false_of_forall_isLittleOproof · cited by 2
- Fin.sum_sum_eq_sum_triangle_addproof · cited by 2
- SimpleGraph.Walk.IsEulerian.card_filter_odd_degreeproof · cited by 1
- Finsupp.neLocus_eq_emptyproof · cited by 1
- DFinsupp.neLocus_eq_emptyproof · cited by 1
- PiLp.edist_selfproof · cited by 0
- SimpleGraph.bot_strongly_regularproof · cited by 0
- Fin.prod_prod_eq_prod_triangle_mulproof · cited by 0
- Finset.filter_constproof · cited by 0
- List.prod_take_ofFnproof · cited by 0