2015-11-25 06:45:39 +00:00
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-- Basic (propositional) forward chaining with conjunctive conclusions
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constants (A B C D E : Prop)
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2015-11-25 14:43:48 +00:00
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set_option blast.recursor false
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2015-11-25 06:45:39 +00:00
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definition lemma1 : B → (A → (¬ B) ∧ C) → ¬ A := by blast
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definition lemma2 : ¬ B → (A → B ∧ C) → ¬ A := by blast
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definition lemma3 : B → (A → C ∧ (¬ B)) → ¬ A := by blast
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definition lemma4 : ¬ B → (A → C ∧ B) → ¬ A := by blast
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definition lemma5 : B → (A → (¬ B) ∧ E ∧ C) → ¬ A := by blast
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definition lemma6 : ¬ B → (A → E ∧ B ∧ C) → ¬ A := by blast
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definition lemma7 : B → (A → E ∧ C ∧ (¬ B)) → ¬ A := by blast
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definition lemma8 : ¬ B → (A → C ∧ B ∧ E) → ¬ A := by blast
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