Assuming that I have this inductive definition for Even
inductive_set Even :: "Int.int set"
where null: "0 ∈ Even"
| plus: "x ∈ Even ⟹ x+2 ∈ Even"
| min: "x ∈ Even ⟹ x-2 ∈ Even"
How do I prove this lemma
lemma four_is_even: "4 ∈ Even"
?
I am relatively new to proof assistant.