Proof step e-b186cc46021ee4e1

parent_provers periodic_product → concludes about Triangle T(n,k) read by rows: number of size-k antisymmetric subsets of {1,2,...,n}. JSON

Theorem

Parent-row provers of polytool polytool ?

Operation

Shared parent provers on the node's own rule

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

Premises

None: this step is a direct theorem check.

Claims

• { "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: parent_provers, SHA-256 bfc3fc84f3088a0a6f47d4f2a268a4ece8ab92b6482adc54ecda68c5d1723381, 635 bytes (375 compressed); download JSON

Cited by

• n-ba3bb18490b15e2e (real_rooted)
• n-ba3bb18490b15e2e (one_signed_coefficients)
• n-ba3bb18490b15e2e (hadamard_kernel)