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''[[Peirce's law|Main article: Peirce's law]]''
 
''[[Peirce's law|Main article: Peirce's law]]''
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This section presents a proof of Peirce's law, commonly written:
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Peirce's law is commonly written in the following form:
    
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<center>
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</center>
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Figure&nbsp;31 shows the representation of Peirce's law as a tree-form logical graph, as it appears under the existential interpretation.
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Figure&nbsp;31 represents Peirce's law as a tree-form logical graph, effecting the translation under the existential interpretation.
    
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{| align="center" border="0" cellpadding="10" cellspacing="0"
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Finally, here is the promised proof of Peirce's law:
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Figure&nbsp;32 presents a graphical proof of Peirce's law:
    
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<pre>
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