Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

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

Technical details

Step id

e-ff79e0a5be8a3b3e · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 258cf595b91ac555c6a54d6fca606f2e5a2b52d05d5aa1029d3c54fb40b6690a, 9,907 bytes (2,856 compressed); download

polytool replayed the certificate when the step was written.