Type Ctrl-D or 'Exit.' to exit or 'Help.' for help. # Set: pp::colors Set: pp::unicode Proved: T1 Proof state: A : Bool, B : Bool, assumption : A ∧ B ⊢ A ## Proof state: no goals ## Proof state: A : Bool, B : Bool, assumption : A ∧ B, lemma1 : A ⊢ B ## Proof state: no goals ## Proof state: A : Bool, B : Bool, assumption : A ∧ B, lemma1 : A, lemma2 : B ⊢ B ∧ A ## Proof state: no goals ## Proved: T2 # Proof state: A : Bool, B : Bool, assumption : A ∧ B ⊢ A ## Proof state: A : Bool, B : Bool, assumption::1 : A, assumption::2 : B ⊢ A ## Proof state: no goals ## Proof state: A : Bool, B : Bool, assumption : A ∧ B, lemma1 : A ⊢ B ## Proof state: A : Bool, B : Bool, assumption::1 : A, assumption::2 : B, lemma1 : A ⊢ B ## Proof state: no goals ## Proof state: A : Bool, B : Bool, assumption : A ∧ B, lemma1 : A, lemma2 : B ⊢ B ∧ A ## Proof state: A : Bool, B : Bool, assumption : A ∧ B, lemma1 : A, lemma2 : B ⊢ B A : Bool, B : Bool, assumption : A ∧ B, lemma1 : A, lemma2 : B ⊢ A ## Proof state: no goals ## Proved: T3 # Proof state: A : Bool, B : Bool, assumption : A ∧ B ⊢ A ## Proof state: A : Bool, B : Bool, assumption::1 : A, assumption::2 : B ⊢ A ## Proof state: no goals ## Proof state: A : Bool, B : Bool, assumption : A ∧ B, lemma1 : A ⊢ B ## Proof state: A : Bool, B : Bool, assumption::1 : A, assumption::2 : B, lemma1 : A ⊢ B ## Proof state: no goals ## Proved: T4 #