text stringlengths 4 275 |
|---|
new B ∧ G → ((H ∨ A → I) → (B → ((J → F ∧ I) → (H ∨ J → (H ∧ G → ((F → D) → (((F → A) → E) → (H → ((G → F ∧ F) → (I → G) ∧ I))))))))) |
intro |
cases 0 |
intro |
intro |
intro |
intro |
intro |
cases 7 |
intro |
intro |
intro |
intro |
cases 0 |
cases 7 |
constructor |
intro |
cases 0 |
cases 7 |
exact 2 |
apply 3 |
left |
exact 8 |
new (B → D ∧ H) → (((F → H) → D) → (C → ((E ∨ H → B) → (((J → D) → B) → (J ∧ A → ((A ∨ E → B) → ((E → B ∧ I) → (C → (G ∨ H → J))))))))) |
intro |
intro |
intro |
intro |
intro |
intro |
cases 5 |
intro |
intro |
intro |
intro |
cases 5 |
exact 6 |
new (A → J) → (D → (((F → E) → C) → (A ∧ H → (I ∨ H → ((I → G) → (F ∨ D → ((B ∨ I) ∧ (F → E) → (((H → B) → D) → ((D → I) → (A ∨ (C ∨ ((A ∨ C) ∨ ((D ∨ E) ∨ (E ∨ B))))) ∨ B))))))))) |
intro |
intro |
intro |
intro |
cases 3 |
intro |
intro |
intro |
intro |
cases 9 |
intro |
intro |
cases 3 |
cases 9 |
left |
left |
exact 4 |
new (A → G ∧ H) → (J → ((E → F) → (B ∧ J → (F ∧ D → (H → ((G → D) → D ∧ D ∨ E)))))) |
intro |
intro |
intro |
intro |
cases 3 |
intro |
cases 6 |
intro |
intro |
cases 3 |
cases 6 |
left |
constructor |
exact 8 |
exact 8 |
new (B → F) → (G → (B → (A ∧ I → (C ∧ H → C)))) |
intro |
intro |
intro |
intro |
cases 3 |
intro |
cases 6 |
cases 3 |
cases 6 |
exact 7 |
new E ∧ J → (C → (C ∧ B) ∧ (J → D) ∨ (E → (D → C ∨ E))) |
intro |
cases 0 |
intro |
cases 0 |
right |
intro |
cases 0 |
intro |
cases 0 |
left |
exact 3 |
new ((J → I) → D) → (G → (J ∧ F → (E → (D → ((E ∨ C → C) → (D ∨ A → ((I → G ∧ H) → (A → ((I → C) → (E → (F → G)) ∨ G))))))))) |
intro |
intro |
intro |
cases 2 |
intro |
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