Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes: shift_x_plus_one of basis_map_A013611 of Triangle read by rows: T(n,k) = binomial(n+1-k,k) (n >= 0, 0 <= k <= n).
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-0947a754cac34b3a · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 c21f629aff416e3737aeb6c74fb24b5193a759105c44d307fe7e8cab8cfd5e9f, 28,236 bytes (5,086 compressed); download

polytool replayed the certificate when the step was written.