Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of basis_map_A013610 of Triangle read by rows: row n consists of n zeros followed by n!.
- Premises
- basis_map_A013610 of Triangle read by rows: row n consists of n zeros followed by n!.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013610 of Triangle read by rows: row n consists of n zeros followed by n!.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-55c91cde6afeaf8d· 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" } } }{ "claim": "interlacing", "from_index": 1, "kind": "weak", "orientation": "unordered" }- Certificate
basis_map, SHA-2567f23d04388e0095955bcc00267e90260146d23e057f0c4de34e46a106525e7fa, 10,244 bytes (2,287 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-fe1d8780dd3ac346(real_rooted)n-fe1d8780dd3ac346(one_signed_coefficients)n-fe1d8780dd3ac346(hadamard_kernel)n-fe1d8780dd3ac346(interlacing)