Proof step

Geometric basis map (elementary)

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

Concludes

Premises

basis_map_A013611 of Triangle read by rows, A007318 rows repeated.
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-15c951c359ef1115 · 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 bc8d74cbc6e7f101b093850c77775f8fe06121531dc0b77b9f5cc570b7c41127, 6,885 bytes (1,395 compressed); download

polytool replayed the certificate when the step was written.

Cited by