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.
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}
}