Proof step e-2d8eb3c5691a59ac

preserver_image mobius, shift 0 → concludes about mobius_x_over_x_plus_one of Bisection of Fibonacci triangle A037027: even-indexed members of column sequences of A037027 (not counting leading zeros). JSON

Theorem

Affine, reversal and Möbius substitutions (elementary) polytool ?

Lean (RealRooted): route fTransform RealRooted.splits_fPolynomial

Operation

Image under a real-rootedness preserver

{
  "index_shift": 0,
  "operation": "preserver_image",
  "operator": "{\"shape\":\"mobius\",\"a\":\"1\",\"b\":\"0\",\"c\":\"1\",\"e\":\"1\",\"schedule\":{\"first_index\":0,\"first_degree\":0,\"step\":1}}"
}

Premises

• Bisection of Fibonacci triangle A037027: even-indexed members of column sequences of A037027 (not counting leading zeros). (sequence)
  uses: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, +inf)

Claims

• { "claim": "real_rooted", "from_index": 0, "region": {} }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: preserver_image, SHA-256 fa567a65d40ee8fe8f7a15986c198a7f4d800816172b34f037eecfb74448f72b, 16,872 bytes (3,930 compressed); download JSON

Cited by

• n-af29b8b59eec534e (real_rooted)