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CrimsonDark
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I don't think that "etiquette", per se, is a real issue. If the previous author's result was published, it was no doubt considered to be a useful contribution, even with the proviso (conditional). You don't have to remind everyone that it's OK to publish such results.

Simply state the facts: "Smith [1] provided a proof of theorem X under the assumption that Y is true. Here, we present a new proof without the necessity of relying on theorem Y"

CrimsonDark
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