Proof step e-5012742dbb320f9a

definition_equality → concludes about shift_x_plus_one of Triangle read by rows: T(n,k) = binomial(n+1-k,k) (n >= 0, 0 <= k <= n). 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 d38d04f81d081ea00648b2eae0f2bcabac10da568a765ec0d22e9cc405126d8c, 27,030 bytes (4,684 compressed); download JSON