Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes: shift_x_plus_one of T(n,k) = 2^k*binomial(n,2k+1), where 0 <= k <= floor((n-1)/2), n >= 1.
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-a4e03b989ac4b509 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 61bb92750d8a862ab1087baf2e5dec09b15fa0e723e85f051343025d4abfe5b6, 27,952 bytes (4,933 compressed); download

polytool replayed the certificate when the step was written.