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Set-theoretic assumption provenance viewer
Family 323: Independence of the separable quotient problem. First review, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Formalization teams can track when a research result depends on axioms or consistency assumptions beyond ordinary ZFC conclusions.
Applicability and commercial boundary
An independence result does not decide a concrete numerical problem or justify a software capability. The measurable-cardinal consistency qualification must remain explicit.
Initial business decision
Research infrastructure. Commercial demand and profitability remain hypotheses.
Next verification action
Map the consistency and continuum-hypothesis branches to exact source statements.
Evidence scope
The catalog statement was individually reviewed. Main-paper and selected formal-scope passages were additionally inspected for families 090, 093, 094, 097, 325, 328 and 332; this record does not claim a full proof audit or independent Lean verification. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.