feat: lift to expressions, vacuous and random_search tactics #7
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eric-wieser
reviewed
Nov 29, 2024
| let p ← prodOf sample sample | ||
| return ⟨p.fst, p.snd⟩ | ||
| interp s := ⟨interp s.fst, interp s.snd⟩ | ||
| proxyExpr? := none -- did not understand the difference with products |
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To be clear, this is Sigma not Prod.
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Thanks. Indeed the documentation said so but I missed this. Will fix.
eric-wieser
reviewed
Nov 29, 2024
eric-wieser
reviewed
Nov 29, 2024
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| open SampleableExt | ||
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| instance instToExprSum [ToExpr α] [ToExpr β] : ToExpr (α ⊕ β) := |
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Note that the use of levelZero in this instance is incorrect, which means that mathlib will have to make a copy of this instance and the one below (using Mathlib's Lean.ToLevel)
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MetaTestableis introduced that is similar toTestablebut also keeps track of expressions for counterexamples by copying and modifying the code.MetaTestablecan be inferred. There are limitations as in addition toSampleableExtwe needToExprfor the proxy type to build expressions.vacuousandrandom_search.vacuoustactic tries to negate (a part of the) hypothesis to prove by vacuous implication.random_searchtactic negates the goal and tries to disprove it.