Proof step e-b6645f2226a58079

parent_provers paper_theorem → concludes about Triangle of central factorial numbers |t(2n,2n-2k)| read by rows. 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 13880fbb2bbb46a7635515f999c5ba361e6b15f08551f5fc78711df344219b2d, 1,995 bytes (858 compressed); download JSON

Cited by

• n-e734a631f8279507 (one_signed_coefficients)
• n-e734a631f8279507 (hadamard_kernel)
• n-e734a631f8279507 (interlacing)
• n-e734a631f8279507 (real_rooted)