VAuroch comments on The Cartoon Guide to Löb's Theorem - Less Wrong
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You are wrong, and I will explain why.
If you "have ((◻C)->C)", that is an assertion/assumption that ◻((◻C)->C). By Loeb's theorem, It implies that ◻C. This is different from what you wrote, which claims that ((◻C)->C) implies ◻C.