Proof step e-5e5f630c1e2baa8a

parent_provers periodic_product → concludes about The truncated (4,4,1)-Pascal triangle, given by 4*C(n-2, k) + 4*C(n-2, k-1) + C(n-2, k-2) for n>=2. 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 04b7ca59a6c8fe10d32be1f3cb196df3e41794a24a943ba6018ec165a4f8e67f, 637 bytes (377 compressed); download JSON

Cited by

• n-f48bed27dbc29c5f (one_signed_coefficients)
• n-f48bed27dbc29c5f (hadamard_kernel)
• n-f48bed27dbc29c5f (real_rooted)