Proof step e-340a6e5084723b41

parent_provers paper_theorem → concludes about Triangle, read by rows, where T(n,k) = n!/(k!*(n-3*k)!*3^k) for n>=3*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 32b560717353ed12707ff90afa808cd66d31758e19c1e37efb28306212751b30, 2,136 bytes (904 compressed); download JSON

Cited by

• n-6f93222f142b1c00 (real_rooted)
• n-6f93222f142b1c00 (one_signed_coefficients)
• n-6f93222f142b1c00 (hadamard_kernel)
• n-6f93222f142b1c00 (interlacing)