What was already known
Henry identified the elementary pushout assertion as the missing step toward the canonical semi-model structure and comparison with spaces. The elementary retraction alone did not control composites and higher coherence cells.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Resolves Henry’s pushout conjecture, the key elementary-expansion step in the Grothendieck homotopy hypothesis approach.
Limitations
The linked Lean scope covers this expansion theorem. The manuscript’s later semi-model structure and full comparison with spaces are outside the selected check.
Technical verification
OpenAI reports a Lean proof matching the selected claim.
Formal checking
The pinned Lean note covers the weak equivalence induced by source-face disk attachment for every coherator and boundary-cellular model.
- Checker
- OpenAI-reported Lean 4 / Comparator
- Scope
- For every Grothendieck coherator in the Ara–Henry convention, every boundary-cellular infinity-groupoid model X, every n≥0 and every n-cell a of X, adjoining an (n+1)-disk along the source n-face of a gives a weak equivalence X→X⁺.
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision