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-- Lean version: 3.4.2 -- Mathlib version: 2019-07-31 def pythagorean_triple (a b c : ℕ) := a > 0 ∧ b > 0 ∧ a * a + b * b = c * c
import .defs open nat theorem proof_olympiad_test : ∃ (a b c : ℕ), pythagorean_triple a b c ∧ a + b + c = 1000 :=sorry
import .Submission theorem you_did_it : ∃ (a b c : ℕ), pythagorean_triple a b c ∧ a + b + c = 1000 := proof_olympiad_test