Proof step

Parent-row provers of polytool

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

Concludes: Triangle T(n,k) = T(n-1,k) + 3*T(n-2,k-1) for k = 0..floor(n/2), with T(0,0) = 1, T(n,k) = 0 for n or k < 0, read by rows.
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-51a872299bdcaa7f · 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 18e2fc40392171a7ae1431796e3aab870a1e3a37c9ae83644372112fa8cd729a, 2,411 bytes (1,012 compressed); download

polytool replayed the certificate when the step was written.

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