Proof step e-2114c364938d0ed1

parent_provers periodic_product → concludes about Twice Pascal's triangle A007318: T(n,k) = 2*C(n,k). JSON

Theorem

Parent-row provers of polytool polytool ?

Operation

Shared parent provers on the node's own rule

{
  "operation": "parent_provers",
  "route": "periodic_product"
}

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 43e2441ac57c97143e8bc6c9900abb5d9e98b5dc3623167d99b1061fa51bbaeb, 629 bytes (372 compressed); download JSON

Cited by

• n-089a9b4f824a1c20 (one_signed_coefficients)
• n-089a9b4f824a1c20 (hadamard_kernel)
• n-089a9b4f824a1c20 (real_rooted)