Proof step e-5a4f04ff49b735c1

parent_provers periodic_product → concludes about basis-map coefficients of Triangle read by rows: T(n,k) = binomial(k,n-k). shifted by x -> -x + 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 7527db23ea6625be2e5717d38ea1b157002ee3f03442de5605617ff06d746112, 630 bytes (374 compressed); download JSON

Cited by

• n-477d9807e1cbb785 (real_rooted)
• n-477d9807e1cbb785 (one_signed_coefficients)
• n-477d9807e1cbb785 (hadamard_kernel)