Set: pp::colors Set: pp::unicode Assumed: g Assumed: a Assumed: b Assumed: H1 Assumed: H2 Proved: T1 Axiom H2 : (g a) > 0 Theorem T1 : (g b) > 0 := Subst (λ x : ℤ, if ((g x) ≤ 0) ⊥ ⊤) H2 H1