fix: occurence check in mkInjectiveTheoremTypeCore?
#3398
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There remains 2 issues: - the check for existing mutual equivalents of the nested appearance is not right. This will need more work - (not certain) instead of simply collecting necessary local variables from `loose_bvars`, we should also collect them in the type of the lvars associated, in a chain, similarly to `occursOrInType` in PR leanprover#3398 The generation of `SizeOf` is failing on a simple example, and more complex ones lead to a segfault, but this is a good step forward.
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There remains 2 issues: - the check for existing mutual equivalents of the nested appearance is not right. This will need more work - (not certain) instead of simply collecting necessary local variables from `loose_bvars`, we should also collect them in the type of the lvars associated, in a chain, similarly to `occursOrInType` in PR leanprover#3398 The generation of `SizeOf` is failing on a simple example, and more complex ones lead to a segfault, but this is a good step forward.
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There remains 2 issues: - the check for existing mutual equivalents of the nested appearance is not right. This will need more work - (not certain) instead of simply collecting necessary local variables from `loose_bvars`, we should also collect them in the type of the lvars associated, in a chain, similarly to `occursOrInType` in PR leanprover#3398 The generation of `SizeOf` is failing on a simple example, and more complex ones lead to a segfault, but this is a good step forward.
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Not certain this is a good idea. Motivated by code duplication introduced in #3398.
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Closes #3386
Currently, when generating the signature of an injectivity lemma for a certain constructor
c : forall xs, Foo a_1 ... a_n,mkInjectiveTheoremTypeCore?will differentiate between variables which are bound to stay the same between the two equal values (i.e inductive indices), and non-fixed ones. To do that, the function currently checks whether a variablex ∈ xsappears in the final co-domainFoo a_1 ... a_nof the constructor. This condition isn't enough however. As shown in the linked issue, the codomain may also depend on variables which appears in the type of free vars contained inFoo a_1 ... a_n, but not in the term itself. This PR fixes the issue by also checking the types of any free variable occuring in the final codomain, so as to ensure injectivity lemmas are well-typed.