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(n+1-k,k) (n >= 0, 0 <= k <= n).
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-82b3fcfa534d7ca0 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 a9e3a5df1aac7c9ae4461765f6f86e4d16ed70463949c9810ebb3f42a6241f06, 28,164 bytes (5,071 compressed); download

polytool replayed the certificate when the step was written.