Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes: shift_x_plus_one of shift_x_plus_one 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-31df69d181e4ed73 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 dd44815a2f10144d58d5628de34208f20124e1a8f5cdcc8ac31c0ceebb2c7796, 28,746 bytes (5,182 compressed); download

polytool replayed the certificate when the step was written.