Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 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-446a0b469defadbd· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013609", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-25641ddbf39212f15088cc0d880634054292c57f3a3bca68c16dc2a01f424541d95, 13,752 bytes (2,572 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-439dbbff0fdd48fb(real_rooted)n-439dbbff0fdd48fb(one_signed_coefficients)n-439dbbff0fdd48fb(hadamard_kernel)