Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes
shift_x_plus_one of basis_map_A013609 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-504abd919cd0fe17 · JSON
Operation
All-n equality of two definitions
{
  "operation": "definition_equality"
}
Claims
Certificate
definition_equality, SHA-256 51c222b2937b98bf9ce1a177b2405bc901935e72bc0b48e01814fd391ace03e5, 19,941 bytes (3,999 compressed); download
polytool replayed the certificate when the step was written.