Theorems · Theorem · combinatorics
Fin.partialProd_contractNth
∀ {G : Type u_3} [inst : Monoid G] {n : ℕ} (g : Fin (n + 1) → G) (a : Fin (n + 1)),
Fin.partialProd (a.contractNth (fun x1 x2 => x1 * x2) g) = Fin.partialProd g ∘ a.succ.succAbove- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- mul_assocproof · cited by 1,667
- Fin.succAbovestatement and proof · cited by 249
- lt_trichotomyproof · cited by 178
- Fin.succAbove_of_castSucc_ltproof · cited by 39
- Fin.succAbove_of_le_castSuccproof · cited by 33
- Fin.contractNthstatement and proof · cited by 21
- Fin.partialProdstatement and proof · cited by 10
- Fin.succ_succAbove_succproof · cited by 8
- Fin.succAbove_ne_zero_zeroproof · cited by 8
- Fin.contractNth_apply_of_gtproof · cited by 6
- Fin.contractNth_apply_of_ltproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Rep.barComplex.d_comp_diagonalSuccIsoFree_inv_eqproof · cited by 0