Counterexample

Is this true?

|f| attains its minimum on the boundary for holomorphic f

No — it is false.

The counterexample

The object that kills this claim comes with Trap Analysis.

86 counterexamples are free — including most of the ones Part C leans on hardest.

Keep practicing

Hypothesis dropped

A theorem applied without checking one of its preconditions.

See real exam options built on this mistake Drill statements like this

Go deeper· Explained in full in Liouville, Morera and the maximum principle· Asked in CSIR NET June 2025· From Cauchy Theory › Liouville, Morera, maximum modulus principle

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