Proof step

Parent-row provers of polytool

Shared parent provers on the sequence's own rule root domain

Concludes: Coefficients of raising factorial polynomials, T(n,k) = [x^k] p(x, n) where p(x, n) = (m*x + n - 1)*p(x, n - 1) with p[x, 0] = 1, p[x, -1] = 0, p[x, 1] = m*x a…
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-f329640d21a7ba5a · JSON

Operation

Shared parent provers on the sequence's own rule

{
  "operation": "parent_provers",
  "route": "root_domain"
}

Claims

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

Certificate

parent_provers, SHA-256 7f1f5f48a2813356605e4c28e2b09dabc8b3dee6606770d46402dcd9a8ed61e2, 1,406 bytes (706 compressed); download

polytool replayed the certificate when the step was written.

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