Theorem.chat
Theorem.chat takes a mathematical claim and tries to settle it. You state the claim, and the standard it has to meet. A panel of AI models — as many as you want, from whichever vendors you want — attacks it, and one more model referees. Then the argument is formalised in Lean 4 against Mathlib, and the Lean kernel decides whether it is proved. That last step is the product.
A, na OYA Urugero
Ask a model a hard question and you get a fluent answer whether or not it is right. Ask several and they often agree, which feels like corroboration and is not: models share training data and share blind spots. A second model checking the first is still the same kind of judgement, and it can be talked round. The Lean kernel cannot. It either derives the statement from the axioms and Mathlib, or it does not, and confidence has no effect on the outcome.
The usual ways to fake a formal proof are checked for and refused. A proof that leaves a hole with sorry, one that appeals to native_decide to make the kernel take a computation on trust, or one that quietly introduces a new axiom, is detected and rejected rather than counted as a success.
i Umwanya Kuri
Arguing is the cheap part. The panel works with the literature — arXiv, OpenAlex, Crossref — so a known result is cited rather than re-derived badly. It has SageMath and PARI/GP for computation, Z3 and CVC5 for SMT solving, OEIS lookup for identifying a sequence it has constructed, and a sandboxed Python environment with no network access. A conjecture can be tested against ten thousand cases before anyone spends a round trying to prove it, and a counterexample ends the discussion immediately.
OYA
A Guhuza ni OYA ku Ubwiza. ni Ibigenderwaho, na A Ikimenyetso ni Ryari: Nyuma Re- ku A: A Inkomoko Na: i, Cyangwa Inyandikoporogaramu Na: Ibisohoka. Re- Mbere, na i Guhuza A Ikimenyetso ni Gufungura.
Gushyiraho i Umurongo
Mu buryo bwikora: ni Kuri Hitamo..., na i. ya: A na Kubona. ya: A Byuzuye Na: na Kubona. ya: i Umurongo: A, na i ni A Konti: Bya i Umwanya Birenzeho A Kuri Kugenzura.
ni Mumurongo Bigyanye: iyi ni OYA A Gufungura. ni A Kuri Nka Ryari: ni OYA, na Intera.
A ni i Ibisohoka
OYA Funga i, Kubona i Intego. ni Buri gihe i Akadomo i - i Intera i Verisiyo. Intego ni Hanyuma Kuri ni Kuri, Na:, na. Ryari:, Ku Cyuzuye Inyungu; Rimwe Ikibazo ya: A Bya i.
Akazi
i Umwanya A Na:, Ibisubizo Rimwe na Ntabwo -, na. Gukoresha Seriveri: - na Guhagarara - ku, ku A, Cyangwa Funga i tab - na Gusubiramo.
iyi ni OYA kugirango
Theorem is a deductive word. This site is built for mathematics, logic, theoretical computer science, theoretical physics and economic theory — fields where a claim is settled by proof. Empirical questions in biology, medicine, chemistry or the social sciences do not produce theorems, they produce findings, and no amount of formalisation will decide them. Our sister site referee.chat runs the same panel-and-referee process without the Lean step, for exactly those questions.