Papers › A Formal Proof of the Independence of the Continuum Hypothesis
A Formal Proof of the Independence of the Continuum Hypothesis
Jesse Michael Han, Floris van Doorn
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We describe a formal proof of the independence of the continuum hypothesis (𝖢𝖧) in the Lean theorem prover. We use Boolean-valued models to give forcing arguments for both directions, using Cohen forcing for the consistency of ¬𝖢𝖧 and a σ-closed forcing for the consistency of 𝖢𝖧.
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