Theorems · Theorem · number theory

Nat.Partition.hasProd_genFun

∀ {R : Type u_1} [inst : CommSemiring R] [inst_1 : TopologicalSpace R] [T2Space R] (f : ℕ → ℕ → R),
  HasProd (fun i => 1 + ∑' (j : ℕ), f (i + 1) (j + 1) • PowerSeries.X ^ ((i + 1) * (j + 1))) (Nat.Partition.genFun f)

Defined in

Mathlib.Combinatorics.Enumerative.Partition.GenFun

Cited by

4 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringTopologicalSpaceT2Space