lean2/tests/lean/run/enum.lean

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import logic
inductive Three :=
zero : Three,
one : Three,
two : Three
namespace Three
theorem disj (a : Three) : a = zero a = one a = two :=
rec (or.inl rfl) (or.inr (or.inl rfl)) (or.inr (or.inr rfl)) a
example (a : Three) : a ≠ zero → a ≠ one → a = two :=
rec (λ h₁ h₂, absurd rfl h₁) (λ h₁ h₂, absurd rfl h₂) (λ h₁ h₂, rfl) a
end Three