Proof step

Geometric basis map (elementary)

Image under a basis map u^k -> P_k A013611

Concludes

Premises

Triangle read by rows, (n-1) zeros followed by 2^n - 1.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]

Theorem

polytool ?

Checked

polytool replayed · Lean not attempted

Technical details

Step id

e-6345331e30ed4cd3 · JSON

Operation

Image under a basis map u^k -> P_k

{
  "map": "A013611",
  "operation": "basis_map"
}

Claims

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

Certificate

basis_map, SHA-256 f1888e36555e8cf19b2f1a72553ae1835c35eb45c8a19f0ac12d8d4e0276837f, 12,298 bytes (2,338 compressed); download

polytool replayed the certificate when the step was written.

Cited by