Proof step e-eab26daf7024ea74

parent_provers periodic_product → concludes about Triangle read by rows, T(n,k) = GegenbauerC(m,-n,-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 eea8c28b12fe36025ef313a8852af60a097c0a2dcb14f1a70bb95893b7f5f57c, 633 bytes (377 compressed); download JSON

Cited by

• n-d3c3090977105807 (real_rooted)
• n-d3c3090977105807 (one_signed_coefficients)
• n-d3c3090977105807 (hadamard_kernel)