Fin.sum_univ_succ

∀ {M : Type u_2} [inst : AddCommMonoid M] {n : ℕ} (f : Fin (n + 1) → M), ∑ i, f i = f 0 + ∑ i, f i.succ

A sum of a function f : Fin (n + 1) → M over all Fin (n + 1) is the sum of f 0 plus the remaining sum

Defined in: Mathlib.Algebra.BigOperators.Fin
Cited by: 36 results in Mathlib
Foundations: Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddCommMonoid

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