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)*binomial(n + k, k).
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-f4e0dab53593f1d4 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 9273f51040ff1059fb79e474168c52c270da91616fd2fce97109b8ea7117c8ed, 20,012 bytes (3,790 compressed); download

polytool replayed the certificate when the step was written.