I've been trying to write a Hilbert-style proof using the Axioms and Rules of Inference for propositional logic, but I keep getting stuck at step 3.
$$(A ∧(¬B)) ⊢ (¬(A → B)$$
- $(A ∧ (¬B))$ (Hypothesis)
- $A = ¬B = (A ∨ ¬B)$ (Golden Rule, eqn)
- $A = (A → ¬B)$ (Implication, Leib, c-part A=P, p-fresh)