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Logique propositionnelle classique - MLO - Ensiie

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Solutions<br />

A ∨ B ⊢ A ∨ B<br />

A ∨ B, A ⊢ A<br />

A ∨ B, B ⊢ B<br />

Intro ∨<br />

A ∨ B, A ⊢ B ∨ A<br />

d<br />

Intro ∨ g<br />

A ∨ B, B ⊢ B ∨ A Elim ∨<br />

A ∨ B ⊢ B ∨ A<br />

Intro ⇒<br />

⊢ A ∨ B ⇒ B ∨ A<br />

A, ¬A ⊢ A A, ¬A ⊢ ¬A Elim ¬<br />

A, ¬A ⊢ ⊥ Intro ¬<br />

A ⊢ ¬¬A<br />

Intro ⇒<br />

⊢ A ⇒ ¬¬A<br />

Catherine Dubois, Julien Narboux (Strasbourg) () <strong>Logique</strong> <strong>propositionnelle</strong> <strong>classique</strong> 49 / 60

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