The supporting argument assumes the Turing machine can uniformly compute f and consult the oracle in a single non-adaptive query, but this presupposes computability of f that may itself require oracle assistance in relativized settings.

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Non-adaptive query(as used in computer science): A question asked to the oracle where you don't need to wait for the answer before deciding what to ask next—you ask everything at once without adjusting based on previous responses.
Oracle (in computation)(as used in computational theory): A hypothetical 'magic tool' that a Turing machine can consult to instantly answer certain questions that would normally be impossible to compute, used to study what problems are harder than others.
Relativized (in logic)(as used in theoretical computer science): When a concept or rule is adjusted to work in a specific context or under certain conditions, rather than being completely universal.
Turing machine(Computability theory): A formal computational model defined to study the notion of computation, containing elementary arithmetic and capable of expressing universality, negation, and self-reference

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