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, 21:32, 2 February 2009→Syntactic Transformation Rules: format definition box
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{| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black" width="90%"
Definition 5
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{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:40px; text-align:center"
| width="80%" |
| width="20%" | <math>\operatorname{Definition~5}</math>
|}
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{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:40px"
| width="2%" style="border-top:1px solid black" |
| width="18%" style="border-top:1px solid black" | <math>\text{If}\!</math>
| width="80%" style="border-top:1px solid black" | <math>Q ~\subseteq~ X</math>
|- style="height:40px"
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| <math>\text{then}\!</math>
| <math>\text{the following are identical propositions} ~:~ X \to \underline\mathbb{B}</math>
|}
|-
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{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:40px"
| width="2%" style="border-top:1px solid black" |
| width="18%" style="border-top:1px solid black" | <math>\operatorname{D5a.}</math>
| width="80%" style="border-top:1px solid black" | <math>\upharpoonleft Q \upharpoonright</math>
|- style="height:40px"
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| <math>\operatorname{D5b.}</math>
| <math>\downharpoonleft x \in Q \downharpoonright</math>
|}
|}
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Given an indexed set of sentences, <math>s_j\!</math> for <math>j \in J,</math> it is possible to consider the logical conjunction of the corresponding propositions. Various notations for this concept are be useful in various contexts, a sufficient sample of which are recorded in Definition 6.
Given an indexed set of sentences, <math>s_j\!</math> for <math>j \in J,</math> it is possible to consider the logical conjunction of the corresponding propositions. Various notations for this concept are be useful in various contexts, a sufficient sample of which are recorded in Definition 6.
