Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- shift_x_plus_one of basis_map_A013611 of Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*5^j.
- Premises
- basis_map_A007318 of Triangle read by rows whose (i,j)-th entry is binomial(i,j)*11^(i-j)*10^j.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A007318 of Triangle read by rows whose (i,j)-th entry is binomial(i,j)*11^(i-j)*10^j.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-b09bc21ad1cc4a76· 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-2569c2ec570535da316b035dc95223a6085b27e3e8f3fecea05b8560274dfd7aea5, 6,865 bytes (1,392 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-0996adca1233ccf5(one_signed_coefficients)n-0996adca1233ccf5(hadamard_kernel)n-0996adca1233ccf5(real_rooted)