Add some automation to All_Forall for proving via nth_error
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JasonGross
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Indeed, that's a more general approach and it would be great to have this! |
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Unfortunately, this seems to result in a bunch of universe errors down the line, and I ran out of time trying to debug them :-/ |
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The existing strategy of combining `Forall`s in the context and then trying to prove the property universally is lossy when there are goals like `Forall (Forall2 P l1) l2` lying around, because it doesn't guarantee that all relevant hypotheses are found. Instead, we can convert all hypotheses to `nth_error` and try to carefully specialize hypotheses so that `nth_error`s line up.
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I got fed up trying to manually prove some weakening properties across checker configuration, and wanted a stronger hammer for dealing with things like
AllandForall.The existing strategy of combining
Foralls in the context and then trying to prove the property universally is lossy when there are goals likeForall (Forall2 P l1) l2lying around, because it doesn't guarantee that all relevant hypotheses are found. Instead, we can convert all hypotheses tonth_errorand try to carefully specialize hypotheses so thatnth_errors line up.