Proof step e-281e0bfa773c0053

parent_provers paper_theorem → concludes about Triangle, read by rows, where T(n,k) = n!/(k!*(n-4*k)!*4^k) for n>=4*k>=0. JSON

Theorem

Parent-row provers of polytool polytool ?

Operation

Shared parent provers on the node's own rule

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

Premises

None: this step is a direct theorem check.

Claims

• { "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }
• { "claim": "interlacing", "from_index": 1, "kind": "weak", "orientation": "previous_interlaces_next" }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: parent_provers, SHA-256 61730bd482b55a8edf826e449e485171bf855af2fe8ec2a9b9c708965e334aa6, 2,166 bytes (919 compressed); download JSON

Cited by

• n-fa138429dacf7586 (real_rooted)
• n-fa138429dacf7586 (one_signed_coefficients)
• n-fa138429dacf7586 (hadamard_kernel)
• n-fa138429dacf7586 (interlacing)