Theorems · Theorem · combinatorics
Finset.sym_filterNe_mem
∀ {α : Type u_1} {s : Finset α} [inst : DecidableEq α] {n : ℕ} {m : Sym α n} (a : α),
m ∈ s.sym n → (Sym.filterNe a m).snd ∈ (s.erase a).sym (n - ↑(Sym.filterNe a m).fst)- Defined in
- Mathlib.Data.Finset.Sym
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 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.
Cites8
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.erasestatement · cited by 455
- Symstatement and proof · cited by 150
- Finset.mem_eraseproof · cited by 61
- Finset.symstatement and proof · cited by 35
- Multiset.mem_filterproof · cited by 10
- Finset.mem_sym_iffproof · cited by 9
- Sym.filterNestatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- DividedPowers.dpow_sum'proof · cited by 2