Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes: shift_x_plus_one of basis_map_A007318 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-8d798a959a00be52 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 ce6cd051aec6962e1e470c21e0f65b25b71bba93c20a8ecf7ce00bca6d9cb0d6, 12,957 bytes (3,419 compressed); download

polytool replayed the certificate when the step was written.