Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes: shift_x_plus_one of Triangle T(n,k) = number of k-part order-consecutive partitions of n (1<=k<=n).
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-2ed63f4d16729a31 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 67113f8df1cf19c7cce59cf17132881dd65b6a67c8e278a9baea635f730aa759, 12,412 bytes (3,430 compressed); download

polytool replayed the certificate when the step was written.