This PR introduces two induction principles for bitvectors, based on the
concat and cons operations. We show how this principle can be useful to
reason about bitvectors by refactoring two population count lemmas
(`cpopNatRec_zero_le` and `toNat_cpop_append`) and introducing a new
lemma (`toNat_cpop_not`).
To use the induction principle we also move `cpopNatRec_cons_of_le` and
`cpopNatRec_cons_of_lt` earlier in the popcount section (they are the
building blocks enabling us to take advantage of the new induction
principle).
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Co-authored-by: luisacicolini <luisacicolini@gmail.com>
Co-authored-by: Luisa Cicolini <48860705+luisacicolini@users.noreply.github.com>