Proof step

Parent-row provers of polytool

Shared parent provers on the sequence's own rule paper theorem

Concludes: Triangle, read by rows, where T(n,k) = n!/(k!*(n-3*k)!*3^k) for n>=3*k>=0.
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-4661ead4d0fbdbdf · JSON

Operation

Shared parent provers on the sequence's own rule

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

Claims

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

{
  "claim": "interlacing",
  "from_index": 1,
  "kind": "weak",
  "orientation": "previous_interlaces_next"
}

Certificate

parent_provers, SHA-256 1abb8c786d60e8b49c339ad73646f3139f77f74fc80d64ac3fd6807291fc53ad, 2,271 bytes (947 compressed); download

polytool replayed the certificate when the step was written.

Cited by