Proof step e-f71cdfb9d254d483

parent_provers root_domain → concludes about Triangle read by rows: T(n, k) = t(n-k, k), where t(0,0) = 1, t(n,m) = 0 if n < 0 or m < 0, else t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), and f(n) = 3*n + 3. 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 d6b6216c7c63f8fa9c5604a22db99453ba7d581cc4aa17d85198d84a898f6a62, 1,453 bytes (703 compressed); download JSON

Cited by

• n-dfedc6a36c97eba4 (one_signed_coefficients)
• n-dfedc6a36c97eba4 (hadamard_kernel)
• n-dfedc6a36c97eba4 (real_rooted)