Proof step e-e811f0fabc9e8e88

parent_provers root_domain → concludes about Triangle T(n,k) = n!*binomial(n-1, k-1) for 1 <= k <= n, 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": "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 298531a92301dc9efedfcd495b9fdfa922405c991720f623ad83012cf40a78c1, 1,149 bytes (604 compressed); download JSON

Cited by

• n-75a6475b3e851dc5 (one_signed_coefficients)
• n-75a6475b3e851dc5 (hadamard_kernel)
• n-75a6475b3e851dc5 (real_rooted)