Real-rooted atlas

Proof step

Geometric basis map (elementary)

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

Concludes
shift_x_plus_one of basis_map_A013609 of Square array of Delannoy numbers D(i,j) (i >= 0, j >= 0) read by antidiagonals.
Premises
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-e56624c61bd6cb77 · JSON
Operation
Image under a basis map u^k -> P_k
{
  "map": "A007318",
  "operation": "basis_map"
}
Claims
{
  "claim": "real_rooted",
  "from_index": 1,
  "region": {
    "upper": {
      "closed": true,
      "value": "0"
    }
  }
}
{
  "claim": "interlacing",
  "from_index": 2,
  "kind": "weak",
  "orientation": "unordered"
}
Certificate
basis_map, SHA-256 bb6005cbb6fdfe3bf57315ee18b77acbad5c6df5a354f6955912ce06f12c70d1, 14,971 bytes (2,909 compressed); download
polytool replayed the certificate when the step was written.
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