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Theorems · Theorem · combinatorics

Fin.prod_univ_castSucc

∀ {M : Type u_2} [inst : CommMonoid M] {n : ℕ} (f : Fin (n + 1) → M), ∏ i, f i = (∏ i, f i.castSucc) * f (Fin.last n)

A product of a function f : Fin (n + 1) → M over all Fin (n + 1) is the product of f (Fin.last n) times the remaining product

Defined in
Mathlib.Algebra.BigOperators.Fin
Cited by
10 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoid

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