Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

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

Technical details

Step id

e-d6bf80c66f6fc720 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 3406d5c6dbb6f5d541c50326ddbef05026b4ccb24f7349717cd7836596690908, 18,438 bytes (3,668 compressed); download

polytool replayed the certificate when the step was written.