Proof step e-088407700c450d53

parent_provers root_domain → concludes about Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by A001147(n). 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 e58ce5d9f614f6f9e624a67dfff362ff70d62394601b24ec342355a8dcd8c3d2, 1,160 bytes (609 compressed); download JSON

Cited by

• n-c7809537965f400d (one_signed_coefficients)
• n-c7809537965f400d (hadamard_kernel)
• n-c7809537965f400d (real_rooted)