Proof step e-ef36674c01230a86

parent_provers root_domain → concludes about Triangle of coefficients in expansion of (x+1)*(x+3)*...*(x + 2n - 1) in rising powers of x. JSON

Theorem

Parent-row provers of polytool polytool ?

Operation

Shared parent provers on the node's own rule

{
  "operation": "parent_provers",
  "route": "root_domain"
}

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 bd81984973c141465bfe548abc4318a92c337a288677a982958e5d7ceab17a48, 1,159 bytes (608 compressed); download JSON

Cited by

• n-4f6e747b794bcc2e (one_signed_coefficients)
• n-4f6e747b794bcc2e (hadamard_kernel)
• n-4f6e747b794bcc2e (real_rooted)