Proof step e-bf95690978550a83

parent_provers root_domain → concludes about Triangle T(n,k)=Sum_{i=0..n} |stirling1(n,n-i)|*binomial(i,k), k=0..n-1. 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 c4ba7b45d9ebd1389f4ff252a186983973807f6a95cd98e68cbe51e06fbf4ef7, 1,149 bytes (606 compressed); download JSON

Cited by

• n-7fd16a32c438d522 (one_signed_coefficients)
• n-7fd16a32c438d522 (hadamard_kernel)
• n-7fd16a32c438d522 (real_rooted)