An imaginary error?

Algebra Level 3

The following is my attempt at proving that $$1 < -1$$. In which of these steps did I first make a mistake by using flawed logic?

Step 1: Let $$i = \sqrt{-1}$$, then $$i^2 = -1$$ and $$i^4 = \big(i^2\big)^2 = (-1)^2 = 1$$.

Step 2: Hence, we have $$i^2 < i^4$$.

Step 3: We divide both sides by $$i$$ to get $$i < i^3$$.

Step 4: We divide both sides by $$i$$ again to get $$1 < i^2$$ or, equivalently, $$1 < -1$$.

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