Proof step

Geometric basis map (elementary)

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

Concludes

Premises

basis_map_A013609 of Even-numbered rows of Pascal's 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-21b9838b2d2dd4bd · 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 bde1d7059a2f23c54afd9734b029c299682c8d87dd50cc5b680e1a8c960224ed, 6,881 bytes (1,400 compressed); download

polytool replayed the certificate when the step was written.

Cited by