Proof step

Parent-row provers of polytool

Shared parent provers on the sequence's own rule paper theorem

Concludes: Irregular triangle read by rows: T(n,k) = binomial(n-k, k), n >= 0, 0 <= k <= floor(n/2); or, coefficients of (one version of) Fibonacci polynomials.
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-d44342e831d15698 · JSON

Operation

Shared parent provers on the sequence's own rule

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

Claims

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

{
  "claim": "interlacing",
  "from_index": 1,
  "kind": "weak",
  "orientation": "previous_interlaces_next"
}

Certificate

parent_provers, SHA-256 c6427e3653d85a17c08c386733e315d619b36aff514e70d97aa9cec813d9b7e9, 2,409 bytes (1,010 compressed); download

polytool replayed the certificate when the step was written.

Cited by