Proof step e-6aa1e3cc7e408461

parent_provers root_domain → concludes about Coefficients of raising factorial polynomials, T(n,k) = [x^k] p(x, n) where p(x, n) = (m*x + n - 1)*p(x, n - 1) with p[x, 0] = 1, p[x, -1] = 0, p[x, 1] = m*x a… 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 339dfe43528e11d671a5f12e4dfc02f39846fa5b372fe1a1b7cfd7c7bfc65751, 1,159 bytes (609 compressed); download JSON

Cited by

• n-60c7e36cbe887b7e (real_rooted)
• n-60c7e36cbe887b7e (one_signed_coefficients)
• n-60c7e36cbe887b7e (hadamard_kernel)