Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes
shift_x_plus_one of Triangle read by rows: T(n, k) (0<=k<=2n) is the number of Delannoy paths of length n, having k steps.
Premises
none: a direct theorem check
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-fbebeadd27b9d988 · JSON
Operation
All-n equality of two definitions
{
  "operation": "definition_equality"
}
Claims
Certificate
definition_equality, SHA-256 dfb1ae0d514e2ca396bab9d26754ddad31028a56c959cb5d3f9b54b80d0b1231, 27,216 bytes (4,659 compressed); download
polytool replayed the certificate when the step was written.