Type Ctrl-D or 'Exit.' to exit or 'Help.' for help. # Set: pp::colors Set: pp::unicode Proof state: a : Bool, b : Bool ⊢ b ⇒ a ∨ b ## Proof state: H : b, a : Bool, b : Bool ⊢ a ∨ b ## Proof state: H : b, a : Bool, b : Bool ⊢ a ## Proof state: H : b, a : Bool, b : Bool ⊢ b ## Error (line: 8, pos: 0) failed to backtrack Proof state: H : b, a : Bool, b : Bool ⊢ b ## Proof state: no goals ## Proved: T2 # Theorem T2 (a b : Bool) : b ⇒ a ∨ b := Discharge (λ H : b, Disj2 a H) #