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Choose the main technique to prove the following statement:
It is false to claim that every integer is even.
T6: Constructive proof to show ∃xP(x)≡T∃xP(x)≡T\exists x P(x) \equiv T
T1: Direct proof to show (p→q)≡T(p→q)≡T(p \to q) \equiv T
T5: Proof by cases to show ((n⋁i=1pi)→q)≡T((n⋁i=1pi)→q)≡T \displaystyle \left(\left(\bigvee_{i=1}^n p_i \right) \to q \right) \equiv T
T7: Two-step proof to show ∃!xP(x)≡T∃!xP(x)≡T\exists ! x P(x) \equiv T
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