IndisputableMonolith.Sport.VO2maxCeilingFromJCost
The Sport.VO2maxCeilingFromJCost module applies the Canonical J-Cost Band template to certify J-cost properties for the VO2max ceiling in the sport domain. It establishes matched-zero at ratio one and non-negativity of J for positive arguments. The module follows the reusable six-clause structure imported from CanonicalJBand with no additional proofs.
claimThe VO2max ceiling satisfies the J-cost band conditions $J(1)=0$ and $J(x)\geq 0$ for all $x>0$.
background
The module sits in the sport domain of Recognition Science and imports the Canonical J-Cost Band. That upstream module supplies a reusable six-clause template for domain certifications. Its doc-comment states that each such cert proves matched-zero J(1)=0 together with nonnegativity J(x) >= 0 for x > 0.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies one of the domain certs that feed the master cert chain for B-tier whole-science openings and the Plan v7 forty-something domain certs. It completes the J-cost certification step for the VO2max ceiling within the sport domain.
scope and limits
- Does not derive numerical values for the VO2max ceiling.
- Does not treat other physiological metrics beyond VO2max.
- Does not modify the underlying J function or the CanonicalJBand template.