That’s irrelevant to a proof-checker. Proof-checkers reside in a specific axiomatic system. It doesn’t matter if there’s an axiomatic system that would give stronger results for the purpose that was under discussion, it just matters if there’s one of a given length in whatever formalism we want.
That’s irrelevant to a proof-checker. Proof-checkers reside in a specific axiomatic system. It doesn’t matter if there’s an axiomatic system that would give stronger results for the purpose that was under discussion, it just matters if there’s one of a given length in whatever formalism we want.