Pantograph/experiments/dsp/lean_src_proj/Putnam_in_lean4
Leni Aniva 95e90cc026
refactor: Experiments into their own folders
2024-10-01 11:06:01 -07:00
..
putnam_2023.lean refactor: Experiments into their own folders 2024-10-01 11:06:01 -07:00
readme.md refactor: Experiments into their own folders 2024-10-01 11:06:01 -07:00

readme.md

Prompt

Help me formalize the following problem into a Theorem in the Lean4 Proof Assistant:
<stmt_to_formalize>
For a positive integer n,
 let f_n(x) = cos(x) cos(2x) cos(3x)··· cos(nx).
 Find the smallest n such that | f''_n(0)| > 2023.
</stmt_to_formalize>
Formalize only the Theorem correctly, if we need using Mathlib let's use it.
The proof is not needed, only the theorem so write ":= sorry" for the proof.