Proof step e-14ec8c56d64bb491

definition_equality → concludes about Triangle read by rows: T(n,k) is the number of Schroeder paths of semilength n containing exactly k peaks but no peaks at level one (n >= 1; 0 <= k <= n-1). JSON

Theorem

Ore-algebra identity of two definitions polytool ?

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Premises

None: this step is a direct theorem check.

Claims

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: definition_equality, SHA-256 c0c4da096dd95d17e27ecf69051a9028c9fee36c60b3a82ce77e4b4e72aa6769, 13,108 bytes (3,132 compressed); download JSON