Theorems · Theorem · combinatorics
Finset.filter_ne
∀ {β : Type u_2} [inst : DecidableEq β] (s : Finset β) (b : β), {a ∈ s | b ≠ a} = s.erase b- Defined in
- Mathlib.Data.Finset.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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.erasestatement · cited by 455
Cited by2
Results whose statement or proof uses this declaration.
- Finset.filter_ne'proof · cited by 8
- SimpleGraph.complete_graph_degreeproof · cited by 1