<LATEX language="en">
<![CDATA[
First formal proofs.
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</LATEX>
<LATEX language="en">
<![CDATA[
First
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</LATEX>
<LATEX language="en">
<![CDATA[
Axioms
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</LATEX>
<LATEX language="en">
<![CDATA[
Disjunction Idempotence
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</LATEX>
<LATEX language="en">
<![CDATA[
Axiom of Weakening
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</LATEX>
<LATEX language="en">
<![CDATA[
Commutativity of the Disjunction
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
Disjunctive Addition
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</LATEX>
<LATEX language="en">
<![CDATA[
Universal Instantiation
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
Existential Generalization
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</LATEX>
<LATEX language="en">
<![CDATA[
Add true formula
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
Modus Ponens\index{Modus Ponens}
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
Replace Free Subject Variable
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
Rename Bound Subject Variable
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
Replace Predicate Variable
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
Replace Function Variable
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
Universal Generalization
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
Existential Generalization
]]>
</LATEX>
<LATEX language="en">
<![CDATA[
One
]]>
</LATEX>
No useful proof, but uses missing rules.