Proof step e-bf1e7898c429e3eb

parent_provers root_domain → concludes about Triangle T(n, k) read by rows, T(n, k) = n!*binomial(n, k). 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 53e3e2f50c68473853bbad3202c714de4297b3debd814b496619ff6c6f7a660a, 1,158 bytes (606 compressed); download JSON

Cited by

• n-cb5d49e71e46f2ed (one_signed_coefficients)
• n-cb5d49e71e46f2ed (hadamard_kernel)
• n-cb5d49e71e46f2ed (real_rooted)