Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of basis_map_A013609 of Triangle read by rows: triangle of repeated stepped binomial coefficients.
- Premises
- basis_map_A013609 of Triangle read by rows: triangle of repeated stepped binomial coefficients.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013609 of Triangle read by rows: triangle of repeated stepped binomial coefficients.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-0ba6d2f79357fe24· 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-256b429fc340ecd583a722e9f54106177bf7cdb0d09dd7262d3d37bd6b0f265613f, 6,931 bytes (1,413 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-ff6e5b4b9776bc17(real_rooted)n-ff6e5b4b9776bc17(one_signed_coefficients)n-ff6e5b4b9776bc17(hadamard_kernel)