Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes

shift_x_plus_one of Triangle read by rows: coefficients of the partial fraction decomposition of [d^n/dx^n] (x/(1-x))^n/n!.

Premises

none: a direct theorem check

Theorem

polytool ?

Checked

polytool replayed · Lean not attempted