Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes: shift_x_plus_one of basis_map_A013610 of Triangle read by rows: T(n,k) = binomial(k,n-k).
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-0c799dd389d7cc9b · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 438355c2c6c6b16c9ba70cff9114f7211a55bcacd59c18b0521fc625aac66441, 20,005 bytes (4,043 compressed); download

polytool replayed the certificate when the step was written.