Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes
shift_x_plus_one of basis_map_A007318 of Triangle T(n,k) = T(n-1,k) + 3*T(n-2,k-1) for k = 0..floor(n/2), with T(0,0) = 1, T(n,k) = 0 for n or k < 0, read by r…
Premises
none: a direct theorem check
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-5ba8ffb4a8aed8c2 · JSON
Operation
All-n equality of two definitions
{
  "operation": "definition_equality"
}
Claims
Certificate
definition_equality, SHA-256 8ccd6b752759af09a761a5a53c455adc4a409fd11b18828429006838b58f703c, 28,133 bytes (5,036 compressed); download
polytool replayed the certificate when the step was written.