Proof step e-0e7ef206328a472c

parent_provers periodic_product → concludes about Triangle read by rows: T(n,0) = 0 for n >= 0; T(n,2*k+1) = A152842(2*n,2*(n-k)) and T(n,2*k) = A152842(2*n,2*(n-k)+1) for n >= k > 0. 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 a7c8082624890e9e7967519b84316dd4d399123c4a1b5f5ba41198fd03f2d36c, 637 bytes (379 compressed); download JSON

Cited by

• n-7e353d0275e3ebc5 (real_rooted)
• n-7e353d0275e3ebc5 (one_signed_coefficients)
• n-7e353d0275e3ebc5 (hadamard_kernel)