Use of Axeyum
The Axeyum CAS formed the Rolle reduction, isolated an exact algebraic root, and checked the certificate from the polynomial and interval.
- Components
- Axeyum CAS
Recorded result
The exact witness is c = sqrt(3), with 1 < c < 2 and p'(c) = 9.
Supporting artifacts
Artifact pages contain the formal statement, proof route, evidence, provenance, and direct dependency graph recorded in the ledger.
- Mean Value Theorem for p(x)=x^3 on [0,3]: axeyum-cas names the witness c = sqrt(3) exactly cas-certificate · F:cas-mvt-cubic-witness-sqrt3
- For p(x)=x^3 on [0,3], the secant endpoints p(3)=27 and p(0)=0 are kernel-reconstructed, not just CAS-asserted cas-certificate · F:cas-mvt-secant-endpoints-kernel-checked