Proof step e-2315075e9c2c499e

preserver_image reversal, shift 0 → concludes about reversal 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 reversed RealRooted.X_pow_mul_reverse_eq_zero_or_splits, RealRooted.reflect_eq_zero_or_splits

Operation

Image under a real-rootedness preserver

{
  "index_shift": 0,
  "operation": "preserver_image",
  "operator": "{\"shape\":\"reversal\",\"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 aeb3d5162d656921a7822be73c5aae0d57777f68b10e923dd44d84f8e54a9417, 16,526 bytes (3,851 compressed); download JSON

Cited by

• n-80f3c43c239c22ff (real_rooted)