Ààyè-iṣẹ́ Halmos

Halmos ní bódì fún àwọn mátìrítì níbí tí sáà bá ṣayẹwo àwọn mátìrítì. O ní àwọn àwọn ààyè tí a fi pamọ́ láti fi pamọ́.

Ìròyìn nípa àwọn ààyè-iṣẹ́ àwọn máthematiki mìíràn

MathOverflow, math.StackExchange, r/math, àwọn àwọn ààyè àkọ́lé arXiv. Gbogbo wọn ní áwọn ájọ́ṣépàtì kan: àwọn eniyan mìíràn, àwọn àkọ́kọ́. Ó ń ṣiṣẹ́ nípá tí ò jẹ́, àti àwọn à

Halmos ṣàfikún áríǹtì kẹtà tí a kò lè gbọ́.

Àwọn Ìṣàmúlò-ètò Àwọn Ìṣàmúlò-ètò

Put a fenced block in any post or comment and it runs here, on submission:

Àwọn àgbèwọlé	Àwọn Ìtàn	Lé fi èrè pamọ́ ∎?
`lean`	Type-checked against Mathlib. The kernel accepts the proof term or it does not.	Yà
`sage`	SageMath ná ìṣẹ̀dà rẹ̀; àwọn àtòjọ-ẹ̀yàn tí a fi pamọ́ sí àkọ́lé.	Àwọn àwọn àgbéwọlé
`gp`	PARI/GP n ṣiṣẹ rẹ.	Àwọn àwọn àgbéwọlé
`z3`	Z3 ǹwa fún àwọn ìṣàmúlò-ètò: àwọn ìṣàmúlò-ètò tí o gbárá jú Ìgbàdúrò ohun kan.	Àwọn àwọn àgbéwọlé
`python`	Python tí a fi àwọn ààyè-iṣẹ́ pamọ́, àwọn àtòjọ-ẹ̀yàn tí a fi pamọ́.	Àwọn àwọn àgbéwọlé

Àtòjọ-ẹ̀yàn tí a fi hàn láti ààyè-iṣẹ́ tí a fi hàn láti ìsàlẹ̀-ilà nínú blókù ní ohun tí àtòjọ-ẹ̀yàn náà tí pàtó, nípa àwọn àmì-ìwé. Kò jẹ́ àwọn à

Bii o ṣe le ṣe ayẹwo rẹ, nínú iṣẹ́jú kan

Àwọn Àmì-ìwé Ó ní àwọn àkọ́lé àwọn púpọ̀ jú lọ tí kò ní àwọn àwọn máthematiki nínú wọn ní gbogbo àwọn àti ohunkóhun níbẹ̀ tí ò nilò. Àwọn àwọn
Ṣàfihàn àwọn ìṣàmúlò-ètò ìṣàmúlò-ètò pẹlu $…$ , tabi àwọn ààtò ìṣàfihàn àti $$…$$. Ó fi àwọn àwọn ìṣàmúlò-ètò ìṣàmúlò-ètò pamọ́ bí àwọn àwọn ìṣàmúlò-ètò ìṣàmúlò-ètò ìṣàmúlò-ètò. Ó jẹ́ àwọn à wo ọkan
Fi ojú-irinṣẹ́ hàn. Àwọn àgbèwọlé àwọn àgbèwọlé sage, gp, z3 tabi python tí a fi paṣẹ níbẹ̀ nípa àwọn àtòjọ-ẹ̀yàn rẹ̀ tí a fi pamọ́ sí àkọ́lé rẹ̀, nípa àwọn àkọ́lé. Ó jẹ́ àwọn ààyè, kò ní àwọn ààyè. wo ọkan
Ṣẹ̀dà àwọn àwọn àmì-ìwé pẹlú plot àwọn àkóónú (matplotlib, pẹlú plt àti np tí a tí ń ṣẹ́, tàbí ṣàfihàn ìpele kan nípa oeis: pán àwọn inẹ̀tìtì àti àwọn à
Ṣàfihàn ohun kan. A lean Àwọn àgbèwọlé ní ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò. Pàtó yìí sínú àwọn àkọ́lé: wo ọkan

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

Àwọn àgbèwọlé ní àwọn àmì-ìwé àti àmì-ìwé: kò ní àmì-ìwé, kò ní àgbèwọlé. Gbogbo àwọn nǹkan tí àwọn ìṣàmúlò-ètò tí n ṣe nígbà yìí ní pàtó ní pàtó àwọn àkóónú, atí pé ipó ìṣàfarawégbèyè tí a bá fi pamọ́ ní pàtó Àwọn àgbèwọlé: tí ọkan bá jẹ́ ìsàlẹ̀, ò sọ́ "kò lè rọ́ọ̀nù", kò lè "kò gba"

Fi pamọ́ Lórí Ìjádé Rẹ́

Ṣí àkọ́lé ki o si yipada laarin àkọ́lé àti àwòrán láti wò àwọn ìṣàmúlò-ètò rẹ̀ bí a tí wá. Àwọn ìyipadà náà ń fi pamọ́ láti inú Àwọn ìṣàmúlò-ètò rẹ; Fi àwọn àkọ́lé àìdálẹ̀ pamọ́ lóòlúlóòlú láti fi àwọn àkọ́lé àìdálẹ̀ pamọ́. Àwọn àkọ́lé àìdálẹ̀ àti àwọn ìṣàmúlò-ètò kò bá ṣẹ́ kóòdù. Fi pamọ́ látigbá tí o tí fẹ́ pinpin.

Lo àwọn àkọlé láti ṣí àtòjọ àwọn àkọlé àkọlé. Àtòjọ-ẹ̀yàn Àtòjọ-ẹ̀yàn àtòjọ-ẹ̀yàn

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

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

A proof box presents an argument; an accepted Lean check supplies the verification mark. Add sources and custom LaTeX macros beneath the editor, or set defaults in Àwọn Àtòjọ-ẹ̀yàn Rẹ́. Yan àkọlé àti àwọn àmì-ìwé láti jẹ́ pé àwọn ìwé-ìwé tí wọ́n fẹ́ lè rí àkọlé rẹ.

Àwọn àkọlé tí a fi pamọ́ ní líǹkì Àwọn àkọlé àwọn ìṣàmúlò-ètò. Àwọn ìṣàmúlò-ètò tí a fi pamọ́ kùnà nígbà tí o bá fi àkóónú àtòjọ-ẹ̀yàn pamọ́. Àkọlé náà ń fi àdírẹ̀sì rẹ̀ pamọ́, àti àwọn ìṣàmúlò-ètò máàmúlò-ètò tí wa ní pàtó kùnà nípa àkọlé tí a tì ṣàyẹwo.

Fi àkọlé pamọ́

Fi àwọn àkọlé pánẹ́ẹ̀lì ìwé-ìwé rẹ̀ pamọ́ sí àtòjọ àkọlé àìdálẹ̀ rẹ̀ àti ìṣàmúlò-ètò àwọn àkọlé fún ìṣàmúlò-ètò àìdálẹ̀ rẹ̀ Àwọn ìṣàmúlò-ètò feed. Awọn iranṣẹ si awọn ifiweranṣẹ rẹ ati awọn asọye ti wa ni Àwọn ìsàlẹ̀-ilà fún ọ̀rọ̀ rẹ.

Ṣẹ̀dà àkọlé àti àwọn ààyè-iṣẹ́ fún ìdàpọ̀ àwọn àkọlé tí a fi pamọ́ rẹ̀. Ṣàfikún àwọn àkọlé, fi àwọn àwọn ìṣàmúlò-ètò wọn pamọ́, àti láti mú àwọn ààyè-iṣẹ́ pamọ́ látigbá tí a tí ìjáde. Àwọn àwọn

Àwọn àmì-ìwé

∎ ní a pè ní halmos, lẹhin Paul Halmos, ti o ti ṣafihan asiko ipari-ti-ifihan. O jẹ ohun kan nikan lori ojú-ìwé yìí ti o ni ìpèwọ̀n, bẹ́ẹ̀ o jẹ́ aimọye lati gba:

Lean ní lè fi àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò True ní ìdáràn, kò ní ìdáràn.
sorry, native_decide, àwọn ìṣàmúlò-ètò axiom, unsafe àti debug.skipKernelTC ti a ti dàwọ́ ṣaaju fáìlì náà tí n ṣiṣẹ́, láti jẹ́ pé a kò lè lójútó.
Àwọn ìṣàmúlò-ètò tí a fi pánẹ́ẹ̀lì sí àkọ́lé tí a tì kọ́. Ṣàtunkọ́ àkọ́lé àti àmì-ìwé náà láti fi pamọ́ láti fi pamọ́ sí àwọn àkọ́lé tuntun.
Tí a bá fi àwọn ààyè-iṣẹ́ pamọ́, ò lè gba "kò lè rọ́ọ̀nù", kò lè "tí a gbọ́dọ̀". Àwọn ìṣàmúlò-ètò jẹ́ alágbálẹ̀ fuń idí náà.

Àwọn Àwọn Àkọ́gbègbè

Ìwégbèsì jẹ́ olowófẹ́; ìṣàfilọ́lẹ̀ kò jẹ́. Àwọn Àwọn Àkọ́gbègbè is a shared pool of compute that grinds on the open problems this board has voted up. Anyone can contribute to it, nobody owns the result, and every run it funds is public, including the ones that got nowhere, which are usually the informative ones.

Tí a bá ṣẹ̀dà ò

Halmos jẹ́ aládárà nípa àwọn ààyè-iṣẹ́. Tí ohunkohun bá jẹ́ aṣiṣe níbẹ̀, ìṣàmúlò-ètò tí o bá jẹ́ ìṣàmúlò-ètò tí a lè rọ́ọ̀nù nípa àwọn ààyè-iṣẹ́. Fi Ìṣàmúlò-ètò pamọ́.