Proof step e-2e5c10abc86c264d

parent_provers root_domain → concludes about Triangle T(n,k), 0 <= k <= n, read by rows, giving coefficients of the polynomial (x+1)(x+2)...(x+n), expanded in increasing powers of x. T(n,k) is also the un… 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 b1e0ba573b9011a608fdc9b1c6cea1e5fee2baab00722061972faa0b8b3509aa, 1,158 bytes (606 compressed); download JSON

Cited by

• n-efe23a76953cf69d (one_signed_coefficients)
• n-efe23a76953cf69d (hadamard_kernel)
• n-efe23a76953cf69d (real_rooted)