Proof step

Ore-algebra identity of two definitions

All-n equality of two definitions

Concludes: Triangle T(n,k) read by rows: (1/n) * C(2n+k,k-1) * C(n,k); n, k >= 1.
Premises: none: a direct theorem check
Theorem: polytool ?
Checked: polytool replayed · Lean not attempted

Technical details

Step id

e-57274ad9278ea6a8 · JSON

Operation

All-n equality of two definitions

{
  "operation": "definition_equality"
}

Claims

Certificate

definition_equality, SHA-256 05c930c4e8a15607bc9b3e146be27a9c16592ed8715b1044d2261a2566849504, 7,543 bytes (2,203 compressed); download

polytool replayed the certificate when the step was written.