Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes
shift_x_plus_one of veronese_section_2_1 of Twice Pascal's triangle A007318: T(n,k) = 2*C(n,k).
Premises
none: a direct theorem check
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-0d92d1cc8269baf8 · JSON
Operation
All-n equality of two definitions
{
  "operation": "definition_equality"
}
Claims
Certificate
definition_equality, SHA-256 a4dfc3f848add9a2a6a4d6977bd82cceba95964912f3e598ab9130531bcfbff0, 10,510 bytes (2,930 compressed); download
polytool replayed the certificate when the step was written.