Proof step e-a464fe87e26690eb

parent_provers paper_theorem → concludes about Triangle of coefficients of (x+1)*(x+3)*(x+6)*...*(x+n(n+1)/2). 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 7fcf10f18cb2cc94fc539cdcff1c7e217fcba88952538db9d94aecb0e07572cd, 2,013 bytes (868 compressed); download JSON

Cited by

• n-ecd77b030b8fab94 (one_signed_coefficients)
• n-ecd77b030b8fab94 (hadamard_kernel)
• n-ecd77b030b8fab94 (interlacing)
• n-ecd77b030b8fab94 (real_rooted)