Proof step e-4c0875826685c298

parent_provers root_domain → concludes about Triangle T(n, k) read by rows: T(n, k) = Sum_{j=0..n} binomial(j, n-k) * |Stirling1(n, 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 7dd9219068c51cada605cfee28cb1e8c9899413a02a27c87d5fd88a894c766d8, 1,159 bytes (607 compressed); download JSON

Cited by

• n-849de7332df28657 (real_rooted)
• n-849de7332df28657 (one_signed_coefficients)
• n-849de7332df28657 (hadamard_kernel)