This PR shifts the conversion from LCNF mono to lambda pure into the
LCNF impure phase. This is preparatory work for the upcoming refactor of
IR into LCNF impure.
The LCNF impure phase differs from the other LCNF phases in two crucial
ways:
1. I decided to have `Decl.type` be the result type as opposed to an
arrows from the parameter types to the result type. This is done because
impure does not have a notion of arrows anymore so keeping them around
for this one particular purpose would be slightly odd.
2. In order to avoid cluttering up the olean size LCNF impure saves only
the signature persistently to the disk. This is possible because we no
longer have inlining/specialization at this point of compilation so all
we need is typing information (and potentially other environment
extensions) to guide our analyses.
This PR introduces a phase separation to the LCNF IR. This is a
preparation for the merge of
the old `Lean.Compiler.IR` and the new `Lean.Compiler.LCNF` framework.
The change parametrizes all relevant `LCNF` data structures over a
`Purity` parameter and
additionally carries around proofs that the `Purity` has certain values,
depending on what's
required. This is done as opposed to indexing the types over `Purity`
because we do (almost) never
have to store the `Purity` value for phase generic structures this way.
This PR splits up the SCC that the compiler manages into (potentially)
multiple ones after
performing lambda lifting. This aids both the closed term extractor and
the elimDeadBranches pass as
they are both negatively influenced when more declarations than required
are within one SCC.