# Mathematical validation of the conditioned trilemma in R01

Contenido de la fuente: 1. What is proved · 2. Complete domain and policies · 2.1 Three families of variables and their formal correspondence.

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DDS Stage A — VNext → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «Complete source-by-source retirement inventory» con el rótulo «research/ecosystem-awareness/baseline/reductions/00G-R01/feasibility/R01_CONDITIONED_TRILEMMA_THEOREM.md».
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Preserved non-canonical working inputs → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «Archivo completo de enlaces del corte» con el rótulo «Mathematical validation of the conditioned trilemma in R01».
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R01 Probabilistic exploration and validation cost → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «R01 Probabilistic exploration and validation cost» con el rótulo «Mathematical validation of the conditioned trilemma in R01».
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R01 — Mathematical feasibility: retained scope and current route → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «R01 — Mathematical feasibility: retained scope and current route» con el rótulo «the canonical theorem».
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R01 Probabilistic exploration and validation cost → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «R01 Probabilistic exploration and validation cost» con el rótulo «Mathematical validation of the conditioned trilemma in R01, v0.2».
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Shared base reference — routing only → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «Shared base reference — routing only» con el rótulo «unchanged authoritative source».
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Ecosystem Awareness in the Hugging Face family — current evidential verdict → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «Additional experiments — they do NOT add more EA successes» con el rótulo «R01 conditioned trilemma».
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Hugging Face / EA / DDS — evidence matrix and reproducibility map → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «B. Actual software/checker and mathematical results» con el rótulo «Conditioned theorem v0.2».
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00G Napoleon → R01 → Hugging Face: EA and Repositioning Cross-Review → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «3. What 00G → R01 really transfers — and what it does not» con el rótulo «R01 conditioned trilemma».
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Post-blind audit assignment — reproduce the favourable AND adverse results → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «Priority reproduction routes» con el rótulo «theorem».
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Conditioned trilemma of cost, risk and efficacy → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «Subsequent development: conditioned trilemma theorem in R01» con el rótulo «main R01 theorem».
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In-depth audit of the conditioned trilemma → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «Subsequent update: correct scope of the R01 theorem» con el rótulo «new main theorem».
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R01 — Consistency review of the three extensions → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «1. Verdict and continuity» con el rótulo «the R01 theorem v0.2».
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R01 — Human escalation and whispering, mechanism by mechanism → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «R01 — Human escalation and whispering, mechanism by mechanism» con el rótulo «Single base theorem».
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Self-review of the conditioned theorem in R01 → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «Self-review of the conditioned theorem in R01» con el rótulo «main theorem».
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Mathematical validation of the conditioned trilemma in R01 → R01 Probabilistic exploration and validation cost
referencia de la fuente. La fuente enlaza esta lectura en «Mathematical validation of the conditioned trilemma in R01» con el rótulo «R01 scenario».
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Mathematical validation of the conditioned trilemma in R01 → R01 Probabilistic exploration and validation cost
referencia de la fuente. La fuente enlaza esta lectura en «Mathematical validation of the conditioned trilemma in R01» con el rótulo «R01 README».
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Mathematical validation of the conditioned trilemma in R01 → R01 — Mathematical validation and extension to technologies
referencia de la fuente. La fuente enlaza esta lectura en «Mathematical validation of the conditioned trilemma in R01» con el rótulo «mathematical validation index».
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Mathematical validation of the conditioned trilemma in R01 → R01 — Mathematical audit and continuity closure
referencia de la fuente. La fuente enlaza esta lectura en «15. Repairs from continuity review, 4 October 2026» con el rótulo «audit and continuity».
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Mathematical validation of the conditioned trilemma in R01 → R01 — Current pending tasks
referencia de la fuente. La fuente enlaza esta lectura en «15. Repairs from continuity review, 4 October 2026» con el rótulo «WORKPLAN.md».
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Mathematical validation of the conditioned trilemma in R01 → R01 — Consistency review of the three extensions
referencia de la fuente. La fuente enlaza esta lectura en «Subsequent audit clarification and continuation by mechanisms» con el rótulo «Consistency review of the three extensions».
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Mathematical validation of the conditioned trilemma in R01 → R01 — Mathematical extension protocol by technology mechanisms
referencia de la fuente. La fuente enlaza esta lectura en «Subsequent audit clarification and continuation by mechanisms» con el rótulo «separate protocol».
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Mathematical validation of the conditioned trilemma in R01 → R01 — Human escalation and whispering, mechanism by mechanism
referencia de la fuente. La fuente enlaza esta lectura en «Subsequent audit clarification and continuation by mechanisms» con el rótulo «Human escalation with whispering».
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R01 and the conditioned trilemma: transfer and local result → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «8. Subsequent development: conditioned trilemma in the full R01 domain» con el rótulo «R01 theorem».
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R01 — Mathematical validation and extension to technologies → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «R01 — Mathematical validation and extension to technologies» con el rótulo «Conditioned R01 theorem v0.2».
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R01 — Mathematical extension protocol by technology mechanisms → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «R01 — Mathematical extension protocol by technology mechanisms» con el rótulo «R01 mathematical validation v0.2».
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R01 — Current pending tasks → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «Current queue — four workstreams» con el rótulo «Theorem v0.2».
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Governing principle — R1 → R2 repair/freeze → R3 beyond effective coverage → repeat → Mathematical validation of the conditioned trilemma in R01
referencia de la fuente. La fuente enlaza esta lectura en «4. Formal research claim — distinguish three logically different propositions» con el rótulo «conditioned R01 mathematical trilemma».
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