Proof step

Parent-row provers of polytool

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

Concludes: Triangle read by rows: T(n,k) = binomial(n+1-k,k) (n >= 0, 0 <= k <= n).
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-bfe28e39a5f610d1 · 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 f7297430d75c26797d8d69dc40ceaaebc6e8c83b0a78c07a364461615f672f2f, 2,334 bytes (945 compressed); download

polytool replayed the certificate when the step was written.

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