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m (Set of rules: <br /> instead of <br>)
(Definitions and theorems: Remark added)
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For theorem-style environments, use the appropriate predefined [http://www.mediawiki.org/wiki/Templates templates]: [[Template:Definition|Definition]], [[Template:Theorem|Theorem]], [[Template:Proposition|Proposition]], [[Template:Lemma|Lemma]], [[Template:Corollary|Corollary]] (with an optional parameter "title").
 
For theorem-style environments, use the appropriate predefined [http://www.mediawiki.org/wiki/Templates templates]: [[Template:Definition|Definition]], [[Template:Theorem|Theorem]], [[Template:Proposition|Proposition]], [[Template:Lemma|Lemma]], [[Template:Corollary|Corollary]] (with an optional parameter "title").
A template [[Template:Proof|Proof]] is also defined for proofs.
+
Additional templates are [[Template:Proof|Proof]] for proofs and [[Template:Remark|Remark]] for remarks.
   
 
{| border="1" cellpadding="10" cellspacing="1"
 
{| border="1" cellpadding="10" cellspacing="1"
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{{Proof|Left to the reader.}}
 
{{Proof|Left to the reader.}}
  +
  +
{{Remark|Really nice, isn't it?}}
 
</pre>
 
</pre>
 
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|
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{{Proof|Left to the reader.}}
 
{{Proof|Left to the reader.}}
  +
  +
{{Remark|Really nice, isn't it?}}
 
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|-
 
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Revision as of 14:52, 8 February 2009

Contents

User account

  • use "FirstName LastName" as Username
  • use a valid e-mail address

Notations

For uniformity, use the common notations when they are already defined, and add your notations to the notations page when you introduce new ones.

Definitions and theorems

For theorem-style environments, use the appropriate predefined templates: Definition, Theorem, Proposition, Lemma, Corollary (with an optional parameter "title"). Additional templates are Proof for proofs and Remark for remarks.

{{Definition|title=Concept|A new concept.}}

{{Theorem|This is a nice concept.}}

{{Proof|Left to the reader.}}

{{Remark|Really nice, isn't it?}}

Definition (Concept)

A new concept.

Theorem

This is a nice concept.

Proof. Left to the reader.

Remark: Really nice, isn't it?

Mathematical typesetting

Formulas

Proofs

The syntax for proofs is based on the bussproofs.sty package. The only allowed macros are those used in the following example:

\AxRule{{}\vdash\Gamma,A\parr B\parr C}
\NulRule{{}\vdash A,A\orth}
\NulRule{{}\vdash B,B\orth}
\NulRule{{}\vdash C,C\orth}
\TriRule{{}\vdash A,B,C,A\orth\tens B\orth\tens C\orth}
\LabelRule{\textit{cut}}
\BinRule{{}\vdash\Gamma,A,B,C}
\UnaRule{{}\vdash\Gamma,A\parr B\parr C}
\DisplayProof


\AxRule{{}\vdash\Gamma,A\parr B\parr C}
\NulRule{{}\vdash A,A\orth}
\NulRule{{}\vdash B,B\orth}
\NulRule{{}\vdash C,C\orth}
\TriRule{{}\vdash A,B,C,A\orth\tens B\orth\tens C\orth}
\LabelRule{\textit{cut}}
\BinRule{{}\vdash\Gamma,A,B,C}
\UnaRule{{}\vdash\Gamma,A\parr B\parr C}
\DisplayProof

Set of rules

For a group of rules, separate rules on a line by \qquad and separate lines by <br />.

<math>
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\text{Rule}_1}
\BinRule{\textit{Concl}}
\DisplayProof
\qquad
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\text{Rule}_1}
\BinRule{\textit{Concl}}
\DisplayProof
</math>

<br />

<math>
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\text{Rule}_3}
\BinRule{\textit{Concl}}
\DisplayProof
\qquad
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\text{Rule}_4}
\BinRule{\textit{Concl}}
\DisplayProof
</math>


\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\text{Rule}_1}
\BinRule{\textit{Concl}}
\DisplayProof
\qquad
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\text{Rule}_2}
\BinRule{\textit{Concl}}
\DisplayProof



\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\text{Rule}_3}
\BinRule{\textit{Concl}}
\DisplayProof
\qquad
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\text{Rule}_4}
\BinRule{\textit{Concl}}
\DisplayProof

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