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) = (k+1)*(n+1)!*(n+k)!/((k+1)!^2*(n-k)!) with n >= 0 and 0 <= k <= n.
- Premises
- none: a direct theorem check
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-0104f9a2eba42f9b· JSON- Operation
- All-n equality of two definitions
{ "operation": "definition_equality" } - Claims
- Certificate
definition_equality, SHA-256bc1566b3cc39b37a6280a7d7059f477f3937a5e479955dee9ec1651c15e772dd, 18,432 bytes (3,662 compressed); downloadpolytool replayed the certificate when the step was written.