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theory scratch
imports IFOL
begin
lemma disj_swap: "P ∨ Q ⟹ Q ∨ P"
apply (erule disjE) (* Compare with the less useful ‹rule disjE› *)
apply (rule disjI2)
apply assumption
apply (rule disjI1)
apply assumption
done
lemma imp_uncurry: "P ⟶ (Q ⟶ R) ⟹ P ∧ Q ⟶ R"
apply (rule impI)
apply (erule conjE)
apply (drule mp)
apply assumption
apply (drule mp)
apply assumption
apply assumption
done
end
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