Proof step

Parent-row provers of polytool

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

Concludes: Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)*p(n, x)/x, p(n, x) = x*D( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x*(1+x)/(…
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-80546fb8d1503e0d · JSON

Operation

Shared parent provers on the sequence's own rule

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

Claims

{
  "claim": "real_rooted",
  "from_index": 1,
  "region": {
    "upper": {
      "closed": true,
      "value": "0"
    }
  }
}

Certificate

parent_provers, SHA-256 9714ac6470b6a9aa8f3912dbce5d945bd2adf2d37862f5e5bbfda4dbe8e5d951, 1,596 bytes (742 compressed); download

polytool replayed the certificate when the step was written.

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