... β)).Replacing α, β,andγ by particular formulas of LP in any one of theschemas A1 , A2 , or A3 gives an axiom of LP.For example, (A 1→ (A 4→ A 1)) is an axiom, being an instance ofaxiom schema ... particular ways. For example, A 1123, (A 2→ ( A 0)),and ((( A 1) → (A 1→ A 7)) → A 7) are all formulas, but X3, (A 5),() A 41, A 5→ A 7,and (A 2→ ( A 0) are not.Problem 1.1. Why are ... ∆ also satisfiesΓ.For example, { A 3, (A 3→ A 7) }|= A 7, but { A 8, (A 5→ A 8) } A 5. (There is a truth assignment which makes A 8and A 5→ A 8true,but A 5false.) Note that a...