Proof step e-94e95c2ea0369f05

parent_provers paper_theorem → concludes about Triangle read by rows: row n consists of the nonzero coefficients of the expansion of 2^n x^n in terms of Hermite polynomials with decreasing subscripts. JSON

Theorem

Parent-row provers of polytool polytool ?

Operation

Shared parent provers on the node's own rule

{
  "operation": "parent_provers",
  "route": "paper_theorem"
}

Premises

None: this step is a direct theorem check.

Claims

• { "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }
• { "claim": "interlacing", "from_index": 1, "kind": "weak", "orientation": "previous_interlaces_next" }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: parent_provers, SHA-256 501117f3123817da405253589f773cc6f33a2b75a4ef0fa65d18047b31c41402, 2,063 bytes (870 compressed); download JSON

Cited by

• n-c914b69838ac70ec (interlacing)
• n-c914b69838ac70ec (real_rooted)
• n-c914b69838ac70ec (one_signed_coefficients)
• n-c914b69838ac70ec (hadamard_kernel)