Theorems · Theorem · combinatorics
Sym.count_coe_fill_of_ne
∀ {α : Type u_1} {n : ℕ} [inst : DecidableEq α] {a x : α} {i : Fin (n + 1)} {s : Sym α (n - ↑i)},
x ≠ a → Multiset.count x ↑(Sym.fill a i s) = Multiset.count x ↑s- Defined in
- Mathlib.Data.Sym.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 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.
- add_zeroproof · cited by 2,707
- Multiset.countstatement and proof · cited by 302
- Symstatement and proof · cited by 150
- Multiset.replicateproof · cited by 88
- Sym.toMultisetstatement and proof · cited by 51
- Multiset.count_eq_zero_of_notMemproof · cited by 27
- Multiset.count_addproof · cited by 23
- Sym.fillstatement · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- DividedPowers.dpow_sum'proof · cited by 2
- norm_iteratedFDerivWithin_prod_leproof · cited by 1