Proof step

Parent-row provers of polytool

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

Concludes: Triangle T(n, k) read by rows: T(n, k) = Sum_{j=0..n} binomial(j, n-k) * |Stirling1(n, n-j)|.
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-6383877cc58c2e6b · 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 aaf76878e41191094159b299e7ca2a0311d0399912576a5c5db61588116c2c70, 1,406 bytes (705 compressed); download

polytool replayed the certificate when the step was written.

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