Re:Division by zero in type theory: a FAQ
by e79 on Monday July 06, 2020 @06:22PM
(#23753471)
I agree that they all have their advantages and disadvantages. My point was agreeing with the author that a proof assistant returning 0 for n/0 isn’t nonsensical. It’s debatable whether it is the best approach, but it is sound. The reasoning is clear if you consider R to be an inductive type, which many proof assistants including Lean do. Returning anything but an element of an inductive type would be wrong.
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