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Fix typos in normal modal and intuitionistic logic - #434

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Fix typos in normal modal and intuitionistic logic#434
maxchang3 wants to merge 1 commit into
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maxchang3:fix/typo

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@maxchang3 maxchang3 commented Aug 15, 2026

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This fixes three typos that change the intended logical meaning:

In content/normal-modal-logic/tableaux/soundness.tex, content/intuitionistic-logic/tableaux/soundness.tex

The countermodel should falsify $A$, so $M,w \models A$ should be $M,w \not\models A$.

In content/normal-modal-logic/completeness/complete-consistent-sets.tex

if $A \notin \Gamma$, completeness gives $\neg A \in \Gamma$, rather than $A \in \Gamma$.

- In normal modal logic tableaux soundness, the countermodel must
  falsify A: use \mSat/{M}{!A}[w] instead of \mSat{M}{!A}[w].
- Same fix in intuitionistic logic tableaux soundness.
- In complete-consistent-sets, completeness gives \lnot !A \in \Gamma
  when !A \notin \Gamma.
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