Tuesday, September 29, 2026

SGC-0011

Tier under review: an upstream claim has changed and the tier of this claim is being reviewed.
SGC-0011 Theorem External theorem

Under the Anti-Foundation Axiom, every (flat) system of equations has a unique solution (Aczel's Solution Lemma); primordial equations replace axiomatic propositions on this basis.

Sources 第十一章 无公理的基础:本原方程、余归纳与自举
External anchor Aczel 1988, Solution Lemma

Premises and dependents

No published premises or dependents.

Cite

Claim template
〔定理级〕在反基础公理(AFA)下,(平坦)方程组有唯一解(Aczel 解引理);本原方程以此取代公理命题。——李旭彤《生之科学》(第十一章 无公理的基础:本原方程、余归纳与自举),问道研究所,2026。
Chinese
李旭彤:〈SGC-0011〉在反基础公理(AFA)下,(平坦)方程组有唯一解(Aczel 解引理);本原方程以此取代公理命题〔定理级〕,载《生之科学》第十一章 无公理的基础:本原方程、余归纳与自举,问道研究所,2026。https://reresearch.org/claim/sgc-0011/
English
Li, Xutong (2026). SGC-0011 [Theorem]: Under the Anti-Foundation Axiom, every (flat) system of equations has a unique solution (Aczel's Solution Lemma); primordial equations replace axiomatic propositions on this basis. In: Science of Generation, 第十一章 无公理的基础:本原方程、余归纳与自举. Reasoning Research Institute. https://reresearch.org/en/claim/sgc-0011/
BibTeX
@misc{SGC-0011,
  author = {Li, Xutong},
  title = {{SGC-0011}: Under the Anti-Foundation Axiom, every (flat) system of equations has a unique solution (Aczel's Solution Lemma); primordial equations replace axiomatic propositions on this basis.},
  howpublished = {Science of Generation Portal},
  organization = {Reasoning Research Institute},
  year = {2026},
  url = {https://reresearch.org/en/claim/sgc-0011/},
  note = {Epistemic tier: Theorem. Source: 第十一章 无公理的基础:本原方程、余归纳与自举}
}