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Catalogue/Arithmetic/Löb.lean
@@ -14,8 +14,7 @@ open LO Entailment FirstOrder Arithmetic Bootstrapping Bootstrapping.Arithmetic
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tag := "löb-theorem"
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%%%
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-Löb's theorem loughly states that for any sentence `σ`,
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-assume "if `σ` is provable, then `σ` is true", then `σ` is true.
+Löb's theorem roughly states that any sentence `σ` is true if the following sentence is true: "if `σ` is provable, then `σ` is true".
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{docstring LO.FirstOrder.Arithmetic.löb_theorem}
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