Proof step

Parent-row provers of polytool

Shared parent provers on the sequence's own rule root domain

Concludes: Triangle T(n,k) giving number of degree-2n permutations which decompose into exactly k cycles of even length, k=0..n.
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-1e6b41b2748404cf · JSON

Operation

Shared parent provers on the sequence's own rule

{
  "operation": "parent_provers",
  "route": "root_domain"
}

Claims

{
  "claim": "real_rooted",
  "from_index": 0,
  "region": {
    "upper": {
      "closed": true,
      "value": "0"
    }
  }
}

Certificate

parent_provers, SHA-256 7c9de2194e6cbeeb08e2d7bf1bcf9b0ff62a1a72989c49596df826fcf261d8e1, 1,435 bytes (730 compressed); download

polytool replayed the certificate when the step was written.

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