Proof step e-4755dd2fd7289161

parent_provers periodic_product → concludes about Triangle T(n,k) with the coefficient of [x^k] of the polynomial (2*(x+1)^2)^n in row n, column k, 0<=k<=2n. 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 24bf73d08441db7009bad14d02e5a39199f826fa0791aa248da003a4115f4c92, 633 bytes (378 compressed); download JSON

Cited by

• n-336459bdce627a87 (real_rooted)
• n-336459bdce627a87 (one_signed_coefficients)
• n-336459bdce627a87 (hadamard_kernel)