Proof step e-6e3ca670df3d0a74

parent_provers periodic_product → concludes about Triangular array T read by rows: T(n,0) = T(n,n) = 1 for all n >= 0, T(n,k) = T(n-1,k-1) + T(n-1,k) for odd n and 1< = k <= n-1, T(n,k) = T(n-1,k-1) + T(n-1,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 82408caf4724dec1df1bb1663750bbda4fb4220515ef1d181068e5fc5e638f8f, 643 bytes (380 compressed); download JSON

Cited by

• n-4e0b19699f4cf0db (real_rooted)
• n-4e0b19699f4cf0db (one_signed_coefficients)
• n-4e0b19699f4cf0db (hadamard_kernel)