Proof step e-d82c9b48e4b31a6b

parent_provers periodic_product → concludes about Triangle read by rows, T(n,k) = GegenbauerC(m,-n,-3/2) where m = k if k<n else 2*n-k, for n>=0 and 0<=k<=2n. JSON

Theorem

Parent-row provers of polytool polytool ?

Operation

Shared parent provers on the node's own rule

{
  "operation": "parent_provers",
  "route": "periodic_product"
}

Premises

None: this step is a direct theorem check.

Claims

• { "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: parent_provers, SHA-256 50c92cd11c82745cd226eff6f5cf3c2d06e6efe799693091d6d9f5393995ecfb, 633 bytes (376 compressed); download JSON

Cited by

• n-b30e7a5b4198051a (real_rooted)
• n-b30e7a5b4198051a (one_signed_coefficients)
• n-b30e7a5b4198051a (hadamard_kernel)