Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of one_plus_derivative of Triangle read by rows: n-th row is n^2 preceded by (n-1) zeros.
- Premises
- one_plus_derivative of Triangle read by rows: n-th row is n^2 preceded by (n-1) zeros.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- one_plus_derivative of Triangle read by rows: n-th row is n^2 preceded by (n-1) zeros.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-b3d8c91f5701b909· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013610", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-256c5f7ea4add5ecdfc9f9138dce48085374cebd964cad3b1a96b78dcba2cdf9a72, 13,760 bytes (2,574 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-496335bedee7a4ff(real_rooted)n-496335bedee7a4ff(one_signed_coefficients)n-496335bedee7a4ff(hadamard_kernel)