Proof step e-f2db3ed118a27f94

parent_provers root_domain → concludes about Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 2*x + 2. 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 222cc595d078b61fc1f4a51a0239270326ba2244b1e4968cf2fcb43a70ed6aea, 1,453 bytes (703 compressed); download JSON

Cited by

• n-41809911e05bb4ba (one_signed_coefficients)
• n-41809911e05bb4ba (hadamard_kernel)
• n-41809911e05bb4ba (real_rooted)