Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes
shift_x_plus_one of Triangle T(n,k) with diagonals T(n,n-k) = binomial(n, 2*k).
Premises
none: a direct theorem check
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-fcbc5be6199b2413 · JSON
Operation
All-n equality of two definitions
{
  "operation": "definition_equality"
}
Claims
Certificate
definition_equality, SHA-256 b3612c405b5dc9a6863baa1a4efd51922c9770fd4ab74c889dc9e67c1823ee4e, 10,030 bytes (2,770 compressed); download
polytool replayed the certificate when the step was written.