Difference between pages "Maplet Overriding in Goal" and "Help:Assigning permissions"

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This page describes the design of a tactic requested here : [https://sourceforge.net/tracker/index.php?func=detail&aid=3306228&group_id=108850&atid=651672 Feature Request #3306228]
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= Objective =
 
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Split every goal in the form : <math> f \ovl{\{x \mapsto y\}} \in A \to B </math> into three sub-goals :
 
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:*<math>\{x\} \domsub f \in A \smallsetminus \{x\} \to B</math>
 
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:*<math>x \in A</math>
 
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:*<math>y \in B</math>
 
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= Design Decision =
 
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Instead of proofing the first sub-goal, it may be more easy to proof <math>f\in A\to B</math> which is a sufficient condition : <math>(f\in A\to B)\limp (\{x\} \domsub f \in A \smallsetminus \{x\} \to B)</math>.
 
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= Implementation =
 
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First, the goal is checked. Its tree structure must match the following one :
 
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<math>\in</math>
 
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  ├── <math>\ovl</math>
 
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│   ├── f
 
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│   └── {}
 
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│       └──  <math>\mapsto</math>
 
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│            ├── x
 
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│            └── y
 
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└── <math>\to</math>
 
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    ├── A
 
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    └── B
 
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Then, if the hypothesis <math>f\in A\to B</math> is present, the goal is split as follows :
 
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:*<math>f\in A\to B</math>
 
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:*<math>x \in A</math>
 
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:*<math>y \in B</math>
 
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Else, it is split as follows :
 
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:*<math>\{x\} \domsub f \in A \smallsetminus \{x\} \to B</math>
 
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:*<math>x \in A</math>
 
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:*<math>y \in B</math>
 
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[[Category:Design proposal]]
 

Revision as of 07:57, 10 August 2008

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