Theorems · Theorem · combinatorics
Fin.partialSum_contractNth
∀ {G : Type u_3} [inst : AddMonoid G] {n : ℕ} (g : Fin (n + 1) → G) (a : Fin (n + 1)),
Fin.partialSum (a.contractNth (fun x1 x2 => x1 + x2) g) = Fin.partialSum g ∘ a.succ.succAbove- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- add_assocproof · cited by 746
- 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.partialSumstatement and proof · cited by 10
- Fin.succ_succAbove_succproof · cited by 8
- Fin.succAbove_ne_zero_zeroproof · cited by 8
- Fin.castSucc_lt_succ_iffproof · cited by 7
- Fin.partialSum_succproof · cited by 6
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