Ibijyanye na

Halmos is a board for mathematics where the server checks the mathematics. It looks like any link aggregator until you notice that some posts carry a mark no amount of confident writing can produce.

Na: Ikindi Imibare

, & math., R /, i Icyo wongeraho. Bya Rimwe Bya: Ikindi,., na ni A A Rimwe, na "Igenzura" na "Kugenzura" Kugenzura ku i Ipaji:.

Halmos adds a second arbiter that cannot be argued with.

i Seriveri

A Funga in Icyo ari cyo cyose Iposita Cyangwa Icyo wongeraho na, ku:

Gukataho	What happens	Gukoresha ∎?
`lean`	Type-checked against Mathlib. The kernel accepts the proof term or it does not.	< guibutton > Yego
`sage`	& kmail;; i Ibisohoka ni Kuri i Iposita.	Oya
`gp`	/	Oya
`z3`	Z3 looks for a model: the fastest way to refute Igikorwa	Oya
`python`	Ibisohoka	Oya

Ibisohoka A Akazu ni i,. A Incamake: ni A in.

How to try it, in about a minute

Icyo wongeraho Oya Imibare in Ku Byose na Icyo ari cyo cyose..
Imibare in Umurongo Na: $…$ , Cyangwa A Kugaragaza: Akagerampera Na: $$…$$. Nka Bijyanye n' imibare; ni. ni Igaragazambere:. Rimwe
i. A Funga sage, gp, z3 Cyangwa python ni na Ibisohoka Kuri Iposita,. ni, OYA. Rimwe
Igishushanyo Na: a plot Gukataho (, Na: plt na np Cyangwa A Ikurikiranyanyuguti Na: oeis: Komeka i Umubare wuzuye na Inyuma, NIBA ni.
Igikorwa A lean Akazu ni Ubwoko: -. iyi Icyo ari cyo cyose Icyo wongeraho: Rimwe

```lean
import Mathlib
theorem two_add_two : 2 + 2 = 4 := by norm_num
```

Hejuru ni A Izina ry' ukoresha na A Ijambobanga: Oya Imeli, Oya Igaragazambere Intera. i NONEAHA ni ku i Umurongo, na Gihinguranya Leta ni ku i Ipaji y'imimerere: NIBA Rimwe ni Hasi "OYA Gukoresha", Nta na rimwe ".

ku

a Inyandiko na Hindura hagati na Igaragazambere Kuri Bijyanye n' imibare Nka. Kubika mu buryo bwikora: Kuri Amadosiye y'inyandiko; Kubika Inyandiko y' inguzanyo. na Nta na rimwe Gukoresha Inyandikoporogaramu. Ryari: Biteguye Kuri Gusangiza.

Umutwe: Kuri Ingingo 'S Ibigize Urutonde. Ibikubiyemo & Ongera,,, Ingero,,, na Amahuza. Urugero::

:::theorem Squares
For every real $x$, we have $x^2 \geq 0$.
:::

:::proof
Explain your argument here.
:::

A Agasanduku; Kugenzura i Verisiyo Ikimenyetso. na Kugena Imiterere Makoro i Muhinduzi, Cyangwa Gushyiraho Mburabuzi in Ibijyana. A Ikigize: na Itagi: Gushaka Itangazo:.

Inyandiko Ikinyamakuru: Ihuza. By' umwihariko & Kugeza i Ihuzagihe. Ingingo Aderesi:, na Kuri i Umwandiko.

Gusoma hamwe

Kubika Kuri By' ibanze Urutonde na Gukurikira Abahanzi Cyangwa ya: A Bwite Gukurikira Ikizamuko. Kuri Na Ibisobanuro Kugaragara in Kuri.

a Igitabo Cyangwa Seriveri Kuri Kwihuza., Itondekanya, na Ubwoko i Ibigize Ryari:. A Bya hafi Urutonde;.

Igaragazambere

∎ ni A halmos, after Paul Halmos, who introduced the end-of-proof symbol. It is the only thing on this site that carries authority, so it is deliberately hard to get:

Gushyiraho Icapa True ni, OYA A.
sorry, native_decide, a axiom, unsafe na debug.skipKernelTC Byabonetse Mbere the file runs, so a cheat cannot even spend compute.
A Gukoresha ni Kuri i Umwandiko. i Iposita na i Ikimenyetso Kuri Gishya Amagambo.
A ni Hasi Kubona "OYA Gukoresha", Nta narimwe "Byahagaritswe". Imimerere ni rusange ya:.

Ibintu

ni; ni OYA. Ibintu ni A Bya ku i Gufungura iyi Hejuru. Kuri, i Igisubizo, na buri Gukoresha ni rusange, i, i.

Gukoresha

Halmos is independent and small. If something here is wrong, the fastest way to prove it is a block the server can run. in.