definition test.foo.prf [irreducible] : ∀ (x : ℕ), 0 < succ (succ x) :=
λ (x : ℕ), lt.step (zero_lt_succ x)
definition test.bla : ℕ → ℕ :=
λ (a : ℕ), foo (succ (succ a)) (foo.prf a)
definition test.bla : ℕ → ℕ :=
λ (a : ℕ), test.foo (succ (succ a)) (test.foo.prf a)
definition test.foo.prf : ∀ (x : ℕ), 0 < succ (succ x) :=
λ (x : ℕ), lt.step (zero_lt_succ x)