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Proof step 19 from proof valid-vtbl-map-indices-erasing (previous step)

avhdr.leb = VTBL_LNUM, avhdr.vol = VTBL_VOLID, apebs[m] = mkpeb(aehdr, avhdr, buf, m0, boolvar), wlar[m] = wl-entry(m1, used), # wlar.mapIndices(nx, f) < # apebs, # wlar.mapIndices(nx, f) < # wlar, m < # apebs, m < # wlar, indices-erasing(wlar, nx), is-encoded(to-vtbl(vols), buf), valid-indices(wlar, nx), # wlar.mapIndices(nx, f) ≤ m ⊦ dups(nx), m ∈ nx

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array-indices, inst: wlarray-base name: map-indices-size seq: ⊦ valid-indices(wlar, nx) → # wlar.mapIndices(nx, f0) = # wlar subst: [f0, nx, wlar] → [f, nx, wlar] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < n → (n ≤ m ↔ false); (s) Used terms: f, nx, wlar