Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes: shift_x_plus_one of basis_map_A013611 of Triangle read by rows. T(n, k) = binomial(n, k)*binomial(n - 1, n - k - 1).
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-c12d924c8e8c7d11 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 77b66a08f9409dfc19cdc022ab50c09c0236e3bbf6bc9588bd42c3f1753f3eea, 13,209 bytes (3,528 compressed); download

polytool replayed the certificate when the step was written.