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) is the number of flattened Catalan words of length n with exactly k runs of descents.
Premises
none: a direct theorem check
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-6aae761843f53e9e · JSON
Operation
All-n equality of two definitions
{
  "operation": "definition_equality"
}
Claims
Certificate
definition_equality, SHA-256 76324276a28719d3e6ea68d76afcf3f6c71411df5e4d0e70939d919dca8cea38, 10,608 bytes (2,950 compressed); download
polytool replayed the certificate when the step was written.