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reorganization of the rules in natural deduction
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Francois Schwarzentruber committed Oct 25, 2023
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Expand Up @@ -207,7 +207,7 @@ <h2>First-order logic</h2>

<h3>Examples of direct applications of rules</h3>


<h4>Existential quantifier</h4>

<textarea proofSystem="NaturalDeduction">
Q(x) |- P(a) *
Expand All @@ -231,6 +231,7 @@ <h3>Examples of direct applications of rules</h3>
Q(x) |- p
</textarea>

<h4>Universal quantifier</h4>

If you proved <code>P(x)</code> and the hypothesis do not depend on <code>x</code>, then you deduce <code>forall x P(x)</code>. That rule is called the introduction of <code>forall</code>.
<textarea proofSystem="NaturalDeduction">
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