Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes: shift_x_plus_one of derivative of Triangle read by rows, n>=1, 1<=k<=n, T(n,k) = k*binomial(n,k)^2/(n-k+1).
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-45b391e15b1cf3a9 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 e8343f70d361b67d0be2d63dbcd251088b8b8c936cdf65806bc50fabd7bd5fa9, 19,474 bytes (4,809 compressed); download

polytool replayed the certificate when the step was written.