Proof step e-cf6c2292b090b00e

parent_provers paper_theorem → concludes about Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by upward antidiagonals. 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": 1, "region": { "upper": { "closed": true, "value": "0" } } }
• { "claim": "interlacing", "from_index": 2, "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 814c4ca297798907dfc9f319136fe7fd9af7893ae816aa0fe168eef86b54b6db, 2,298 bytes (976 compressed); download JSON

Cited by

• n-c8b3f39d03de798f (real_rooted)
• n-c8b3f39d03de798f (one_signed_coefficients)
• n-c8b3f39d03de798f (hadamard_kernel)
• n-c8b3f39d03de798f (interlacing)