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These became duplicates of their non-barred counterparts.
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We never used the equality property. Thus a simple function is
sufficient here. We always fulfilled the property using ≡-to-Π anyway.
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Turns out, we never use this requirement. The only place where it may
come in relevant is the free theorems. But here non-injectivity turns
out to be reasoning about multiple get functions that are selected by
the additional index each individually satisfying the free theorem and
thus commonly satisfying it as well.
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One can use PartialShapeShape instead, so there is limited utility for
this type. It is not used directly and there also is no PartialVecShape.
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Albeit long, this commit is relatively boring.
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Add IsShaped and Shaped records describing shapely types as in Jay95.
Implement bff on Shaped and rewrite PartialVecVec to use the vector
shape retaining all proofs on the vector implementation.
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These two features heavily interconnect. As such it makes sense to
integrate them properly. This non-trivial merge does that work. Compared
to feature-partial-getlen a few definitions moved from FreeTheorems.agda
to GetTypes.agda. Many types changed compared to both branches.
Conflicts:
BFF.agda
Bidir.agda
FreeTheorems.agda
Precond.agda
conflict in GetTypes.agda not detected by merge
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