Proof step e-070da67d980ebd97

parent_provers periodic_product → concludes about basis-map coefficients of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downward antidiagonals. 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": 1, "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 4b057e66c28eed36143b9f176a2bc6d9c2e929e338c12f580ae6fc1b6b85ef5d, 630 bytes (373 compressed); download JSON

Cited by

• n-3cc7875cf81a5a84 (real_rooted)
• n-3cc7875cf81a5a84 (one_signed_coefficients)
• n-3cc7875cf81a5a84 (hadamard_kernel)