Proof step e-f7365f1dbad216ac

parent_provers root_domain → concludes about Triangle read by rows, Stirling cycle numbers of order 3, T(n,n) = 1, T(n,k) = 0 if k<0 or k>n, otherwise T(n,k) = T(n-1,k-1)+(n-1)^3*T(n-1,k), for n>=0 and 0<… 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 9782df96d451f899548870bcced51364d20a993bc158e2bfad5b8865faad20e1, 1,180 bytes (615 compressed); download JSON

Cited by

• n-fefc87d068bda822 (real_rooted)
• n-fefc87d068bda822 (one_signed_coefficients)
• n-fefc87d068bda822 (hadamard_kernel)