Proof step e-8239b1c6b4764045

parent_provers root_domain → concludes about Triangle T(n,k) giving number of degree-2n permutations which decompose into exactly k cycles of even length, k=0..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 75ac45a5ece707a69127081905aac1ec98084fc5c21cdd763f1373cfe6557418, 1,170 bytes (617 compressed); download JSON

Cited by

• n-1336d058dca9979e (real_rooted)
• n-1336d058dca9979e (one_signed_coefficients)
• n-1336d058dca9979e (hadamard_kernel)