Proof step e-2e1314120c3b22a7

parent_provers root_domain → concludes about Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)*p(n, x)/x, p(n, x) = x*D( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x*(1+x)/(… 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 d8a70464b49a956f74f48bd2a2ee2452e61e871d556c8cc606723516d0cac64b, 1,462 bytes (701 compressed); download JSON

Cited by

• n-6a8ffbe72ba42678 (one_signed_coefficients)
• n-6a8ffbe72ba42678 (hadamard_kernel)
• n-6a8ffbe72ba42678 (real_rooted)