Preprocesses types that used for pattern matching and unification.
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Analyzes whether the given free variables (aka arguments) are proofs or instances.
Returns none if no arguments are proofs or instances.
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Analyzes the type signature of declName and returns information about which arguments
are proofs or instances. Returns none if no arguments are proofs or instances.
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Returns information about the type signature of declName. It contains information about which arguments
are proofs or instances. Returns none if no arguments are proofs or instances.