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Seven localized source corrections found during translation QA #435

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@KokunoYumeto

Hello — while checking complete translation targets against the English source, I found seven small, high-confidence source defects. I verified each against current master at 1e960beff9ed7835bf3e3f1335e21af3439cd107 as well as the frozen translation authority 9620cc7.

This list deliberately excludes everything already raised in #432, #433, or the findings ledger linked from #432.

  1. content/proof-theory/proof-search/tableaux.tex:29
    shows that would show thatwould show that (or simply shows that).

  2. content/second-order-logic/metatheory/second-order-arithmetic.tex:41–42
    \Domain{M})$.\Domain{M}$). The parenthesis belongs to the surrounding “i.e.” clause, not inside the formula.

  3. content/second-order-logic/metatheory/undecidability-and-axiomatizability.tex:33
    $\Sat{M}{!P \lif !A$}.$\Sat{M}{!P \lif !A}$. This closes the second argument of \Sat before math mode ends.

  4. content/set-theory/ord-arithmetic/using-addition.tex:61
    Insert the missing =: $\setrank{A \times B} = \max(\setrank{A}, \setrank{B}) \ordplus 2$.

  5. content/first-order-logic/tableaux/provability-consistency.tex:122
    On the left left sideOn the left side.

  6. content/sets-functions-relations/size-of-sets/non-enumerability-alt.tex:135
    iff ififf.

  7. content/proof-theory/sequent-calculus/invertibility.tex:331,366,372
    At line 331, \RightR{\lexists}\RightR{\lforall}, since the displayed principal formula is universal. At lines 366 and 372, !B!B(t), matching the existential-rule premise at line 360.

These are source-quality notes for maintainer review; no upstream endorsement of any translation is implied.

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