قالب:جدول عبارة رياضية

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Poincaré conjecture

For compact 2-dimensional surfaces without boundary, if every loop can be continuously tightened to a point, then the surface is topologically homeomorphic to a 2-sphere (usually just called a sphere). The Poincaré conjecture, proved by Grigori Perelman, asserts that the same is true for 3-dimensional spaces.
النوع	Theorem
المجال	Geometric topology
العبارة	Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
حدسها	Henri Poincaré
حدسية في	1904
أول من برهنها	Grigori Perelman
أول برهان في	2006
متضمنة في	Geometrization conjecture Thurston elliptization conjecture
مسألة مفتوحة	No
تعميمات	Generalized Poincaré conjecture

 Usage

The Template:Infobox mathematical statement generates a right-hand side infobox, based on the specified parameters. To use this template, copy the following code in your article and fill in as appropriate:

{{Infobox mathematical statement
| name =
| image =
| caption =
| type =
| field =
| statement =
| symbolic statement =
| conjectured by =
| conjecture date =
| first stated by =
| first stated in =
| first proof by =
| first proof date =
| open problem =
| known cases =
| implied by =
| equivalent to =
| generalizations =
| consequences =
}}

 Parameters

All parameters are optional.

name

Name at the top of the infobox; should be the name of the statement, e.g. Strong multiplicity one theorem, Zorn's lemma. Defaults to page name.

image

Image, e.g. xxx.svg.

caption

Caption.

type

The current type of statement, e.g. Theorem, Conjecture, Lemma, Postulate, Axiom.

field

The branch(es) of mathematics to which the statement belong(s), e.g. Number theory, Algebraic geometry and algebraic topology.

statement

The mathematical statement.

symbolic statement

A symbolic version of the mathematical statement when a prose version is already given.

conjectured by

Name of person(s) who first posed the statement.

conjectured date

Date(s) of when the statement was first posed.

first stated by

Name of person(s) who first posed the statement (alternative to using the word "conjectured").

first stated date

Date(s) of when the statement was first posed (alternative to using the word "conjectured").

first proof by

Name of person(s) who first proved the statement.

first proof date

Date(s) of when the statement was first proven.

open problem

Is this an open problem? Typical values are Yes or No, though something more specific could be put here (e.g. Only one example known, etc.)

known cases

The cases for which the statement is known (e.g. For all function fields or For all r > 3).

implied by

Statement(s) that imply the current one.

equivalent to

Statement(s) that both imply and are implied by the current one.

generalizations

Statement(s) that generalize the current one.

consequences

Statement(s) that are implied by the current one.

 Template data

Infobox for a logical statement in mathematics that can either be true or false. Can be used to describe theorems, conjectures, lemmas, postulates, and axioms.

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وسيط		وصف	نوع	حالة
Title style	titlestyle	Inline CSS to style the title parameter.	نص	اختياري
Name	name	Name of the mathematical statement that appears at the top of the infobox. قيمة تلقائية {{PAGENAMEBASE}}	اسم الصفحة	مقترح
Image	image	Image representing the mathematical statement.	ملف	مقترح
Image size	image_size imagesize	How large the image should be.	نص	مقترح
Alternative text	alt	Alternative text describing an image, which is spoken out loud by screen reader devices	نص	مقترح
Caption	caption	Descriptive text that appears below the image.	غير معروف	مقترح
Type	type	Type of mathematical statement القيم المقترحة [[Theorem]] [[Conjecture]] [[Lemma]] [[Postulate]] [[Axiom]]	محتوى	مقترح
Field	field	One or more branch that the mathematical statement falls under مثال Convex geometry, algebraic topology	غير معروف	مقترح
Statement	statement	The mathematical statement.	محتوى	مقترح
Symbolic statement	symbolic statement	A symbolic version of the mathematical statement when a prose version is already given.	محتوى	مقترح
Conjectured by	conjectured by	Name of person(s) who first posed the statement.	محتوى	مقترح
Conjectured in	conjecture date	Date(s) of when the statement was first posed.	محتوى	مقترح
First stated by	first stated by	Name of person(s) who first posed the statement (alternative to using the word "conjectured").	محتوى	مقترح
First stated in	first stated date	Date(s) of when the statement was first posed (alternative to using the word "conjectured").	محتوى	مقترح
First proof by	first proof by	Name of person(s) who first proved the statement.	محتوى	مقترح
First proof in	first proof date	Date(s) of when the statement was first proven.	محتوى	مقترح
Implied by	implied by	Statement(s) that imply the current one.	محتوى	مقترح
Open problem	open problem	Is this an open problem? Typical values are Yes or No, though something more specific could be put here. القيم المقترحة Yes No Only one example known مثال Only one example known	نص	مقترح
Known cases	known cases	The cases for which the statement is known.	غير معروف	مقترح
Equivalent to	equivalent to	Statement(s) that both imply and are implied by the current one.	محتوى	مقترح
Generalizations	generalizations	Statement(s) that generalize the current one.	محتوى	مقترح
Consequences	consequences	Statement(s) that are implied by the current one.	محتوى	مقترح

 See also

• WP:Infobox
• {{Infobox mathematical function}}