Proof step

Gamma criterion

Gamma polynomial of a palindromic parent scale 1/4, shift 0

Concludes

peak

Premises

eulerian
sequence: Every row P_n, n >= 1, is zero or real-rooted with all roots in (-inf, 0]

Theorem

Checked

polytool replayed · Lean not attempted

Technical details

Step id

e-317f34f96cbbb3b5 · JSON

Operation

Gamma polynomial of a palindromic parent

{
  "index_shift": 0,
  "operation": "gamma_polynomial",
  "scale": "1/4"
}

Claims

{
  "claim": "real_rooted",
  "from_index": 1,
  "region": {
    "upper": {
      "closed": true,
      "value": "0"
    }
  }
}

Certificate

gamma_polynomial, SHA-256 bedfb38917288554df03e519c650f93185ab16b67196ee8287334b6c1adacd1c, 7,401 bytes (2,116 compressed); download

polytool replayed the certificate when the step was written.

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