Proof step e-052cfd8551fd4fcd

parent_provers root_domain → concludes about Triangle of numbers T(n,k) = k!*Stirling2(n,k) read by rows (n >= 1, 1 <= k <= n). 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": 1, "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 01a2a6b1073f9d5cb1464d4ae77c1939a049463178e1eaa7dec1fdc631820777, 1,223 bytes (597 compressed); download JSON

Cited by

• n-d938c1937a93c4df (one_signed_coefficients)
• n-d938c1937a93c4df (hadamard_kernel)
• n-d938c1937a93c4df (real_rooted)