Proof step

Geometric basis map (elementary)

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

Concludes

Premises

derivative of Triangle read by rows: n-th row is n^2 preceded by (n-1) zeros.
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-63516dcc6ed9426a · 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"
    }
  }
}

Certificate

basis_map, SHA-256 3783cc659a524a7a6c2aa47bb7171a11f46909f4efb5dde4bcaee697d3efc0d5, 13,913 bytes (2,656 compressed); download

polytool replayed the certificate when the step was written.

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