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function f(x: int): int
lemma {:axiom} f_positive(x: int)
requires x >= 0
ensures f(x) >= 0
lemma f_2_pos()
ensures f(2) >= 0
{
f_positive(2);
}
lemma f_1_1_pos()
ensures f(1 + 1) >= 0
f_2_pos();
assert 1 + 1 == 2;