Lean-Workbook Syntax 66744: Positivity of finite products
ProvedWorkbookSyntax.plus_66744lean-workbookrepaired-notationsource-checked
If a natural-number sequence is positive at every index, then for every natural , with the empty product equal to 1.
Source: Lean-Workbook row lean_workbook_plus_66744 (Apache-2.0), original record. This corrected declaration replaces the obsolete finite sum/product binder in with ∈ and restores required imports or namespaces. Ranges, casts, quantifiers, and mathematical expressions are preserved.
Preamble
import Mathlib.Algebra.Order.BigOperators.Group.Finset
Formal statement
theorem WorkbookSyntax.plus_66744 (b : ℕ → ℕ) (h : ∀ i, b i > 0) : ∀ j, ∏ i ∈ Finset.range j, b i > 0 := by sorry
Source