Proof step
Parent-row provers of polytool
Shared parent provers on the sequence's own rule paper theorem
- Concludes
- Triangle read by rows: row n consists of the nonzero coefficients of the expansion of 2^n x^n in terms of Hermite polynomials with decreasing subscripts.
- Premises
- none: a direct theorem check
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-b160bf4cdac48f45· JSON- Operation
- Shared parent provers on the sequence's own rule
{ "operation": "parent_provers", "route": "paper_theorem" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }{ "claim": "interlacing", "from_index": 1, "kind": "weak", "orientation": "previous_interlaces_next" }- Certificate
parent_provers, SHA-256d02d73e48688558b5334bf46704849a4ced982dfea3a73cb59520d6c47805373, 2,198 bytes (912 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-c914b69838ac70ec(real_rooted)n-c914b69838ac70ec(one_signed_coefficients)n-c914b69838ac70ec(hadamard_kernel)n-c914b69838ac70ec(interlacing)