Template:Infobox mathematical statement

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.
Type	Theorem
Field	Geometric topology
Statement	Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
Conjectured by	Henri Poincaré
Conjectured in	1904
First proof by	Grigori Perelman
First proof in	2006
Implied by	Geometrization conjecture; Thurston elliptization conjecture;
Open problem	No
Generalizations	Generalized Poincaré conjecture

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Usage[edit]

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[edit]

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[edit]

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.

Template parameters[Edit template data]
This template prefers block formatting of parameters.
Parameter		Description	Type	Status
Title style	`titlestyle`	Inline CSS to style the title parameter.	String	optional
Name	`name`	Name of the mathematical statement that appears at the top of the infobox. Auto value `{{PAGENAMEBASE}}`	Page name	suggested
Image	`image`	Image representing the mathematical statement.	File	suggested
Image size	`image_size` `imagesize`	How large the image should be.	String	suggested
Alternative text	`alt`	Alternative text describing an image, which is spoken out loud by screen reader devices	String	suggested
Caption	`caption`	Descriptive text that appears below the image.	Unknown	suggested
Type	`type`	Type of mathematical statement Suggested values `[[Theorem]]` `[[Conjecture]]` `[[Lemma]]` `[[Postulate]]` `[[Axiom]]`	Content	suggested
Field	`field`	One or more branch that the mathematical statement falls under Example Convex geometry, algebraic topology	Unknown	suggested
Statement	`statement`	The mathematical statement.	Content	suggested
Symbolic statement	`symbolic statement`	A symbolic version of the mathematical statement when a prose version is already given.	Content	suggested
Conjectured by	`conjectured by`	Name of person(s) who first posed the statement.	Content	suggested
Conjectured in	`conjecture date`	Date(s) of when the statement was first posed.	Content	suggested
First stated by	`first stated by`	Name of person(s) who first posed the statement (alternative to using the word "conjectured").	Content	suggested
First stated in	`first stated date`	Date(s) of when the statement was first posed (alternative to using the word "conjectured").	Content	suggested
First proof by	`first proof by`	Name of person(s) who first proved the statement.	Content	suggested
First proof in	`first proof date`	Date(s) of when the statement was first proven.	Content	suggested
Implied by	`implied by`	Statement(s) that imply the current one.	Content	suggested
Open problem	`open problem`	Is this an open problem? Typical values are Yes or No, though something more specific could be put here. Suggested values `Yes` `No` `Only one example known` Example Only one example known	String	suggested
Known cases	`known cases`	The cases for which the statement is known.	Unknown	suggested
Equivalent to	`equivalent to`	Statement(s) that both imply and are implied by the current one.	Content	suggested
Generalizations	`generalizations`	Statement(s) that generalize the current one.	Content	suggested
Consequences	`consequences`	Statement(s) that are implied by the current one.	Content	suggested

Usage[edit]

Parameters[edit]

Template data[edit]

See also[edit]