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Proof step 13 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), m < # wlar, m < # apebs, indices-erasing(wlar, nx), is-encoded(to-vtbl(vols), buf), valid-indices(wlar, nx) ⊦ dups(nx), m < # wlar.mapIndices(nx, f) ∧ wlar.mapIndices(nx, f)[m].status = used

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
avhdr.leb = VTBL_LNUM, avhdr.vol = VTBL_VOLID, wlar[m] = wl-entry(m1, used), apebs[m] = mkpeb(aehdr, avhdr, buf, m0, boolvar), wlar.mapIndices(nx, f)[m] = wl-entry(m2, stat), m < # apebs, m < # wlar, indices-erasing(wlar, nx), is-encoded(to-vtbl(vols), buf), valid-indices(wlar, nx) ⊦ dups(nx), m < # wlar.mapIndices(nx, f) ∧ stat = used

Rule argument

spec: wlentry name: elim-02 seq: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat) subst: [wle, m, stat] → [wlar.mapIndices(nx, f)[m], m2, stat]

Additional information

Used simplifier rules: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat); (elim) Used terms: wlar.mapIndices(nx, f)[m], m2, stat