Proof step e-b7eca039219a7f53

parent_provers periodic_product → concludes about a(n) = 1 if n is of the form m(m+3)/2, otherwise 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 28b0677de51356622004bdee49b3e32263cbcbf0992e57af7cdf296451825f68, 629 bytes (373 compressed); download JSON

Cited by

• n-6fea5aff4f44fa54 (real_rooted)
• n-6fea5aff4f44fa54 (one_signed_coefficients)
• n-6fea5aff4f44fa54 (hadamard_kernel)