Proof step

Geometric basis map (elementary)

Image under a basis map u^k -> P_k A013609

Concludes

basis_map_A013609 of A127899(unsigned) * A007318.

Premises

A127899(unsigned) * A007318.
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-2086690850cdd78c · JSON

Operation

Image under a basis map u^k -> P_k

{
  "map": "A013609",
  "operation": "basis_map"
}

Claims

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

{
  "claim": "interlacing",
  "from_index": 2,
  "kind": "weak",
  "orientation": "unordered"
}

Certificate

basis_map, SHA-256 0314b86dc2eb6af6d3c7b7caf9b750519453670a9de77ad9a42907a15e528862, 16,402 bytes (3,258 compressed); download

polytool replayed the certificate when the step was written.

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