Proof step e-63379a8a04b88f9c

parent_provers paper_theorem → concludes about Triangle of coefficients in expansion of (1+x)*(1+3x)*(1+5x)*(1+7x)*...*(1+(2n-1)x). 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 e847ec9b72d78b2fbc339adc082b778c5292661854e6e8cc6040344f40284840, 1,987 bytes (859 compressed); download JSON

Cited by

• n-2b477f2aa77e3efc (hadamard_kernel)
• n-2b477f2aa77e3efc (interlacing)
• n-2b477f2aa77e3efc (real_rooted)
• n-2b477f2aa77e3efc (one_signed_coefficients)