Proof step e-f17aff623964d25a

parent_provers root_domain → concludes about Triangle read by rows: T(n,k) = (-1)^(n+k)*Sum_{j=1..k} s(n,j), where s(n,j) are the signed Stirling numbers of the first kind (n >= 2; 1 <= k <= n-1; s(n,j) =… JSON

Theorem

Parent-row provers of polytool polytool ?

Operation

Shared parent provers on the node's own rule

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

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 1d6fbe490426718de898b8aa2ebe3784acfb249d2ee764133a045e8e4a8a81a1, 1,149 bytes (606 compressed); download JSON

Cited by

• n-914700b1060feeb2 (one_signed_coefficients)
• n-914700b1060feeb2 (hadamard_kernel)
• n-914700b1060feeb2 (real_rooted)