Proof step

Geometric basis map (elementary)

Image under a basis map u^k -> P_k A007318

Concludes

shift_x_plus_one of A Jacobsthal-Pascal triangle.

Premises

A Jacobsthal-Pascal triangle.
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-cff62580f6271d39 · JSON

Operation

Image under a basis map u^k -> P_k

{
  "map": "A007318",
  "operation": "basis_map"
}

Claims

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

Certificate

basis_map, SHA-256 655241d9c91476d2e390ea345118017308116d2405f661b61531e92119894df0, 13,662 bytes (2,724 compressed); download

polytool replayed the certificate when the step was written.

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