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Proof step 3 from proof valid-vtbl-map-indices-erasing (previous step)

indices-erasing(wlar, nx), valid-indices(wlar, nx), valid-vtbl(apebs, vols, wlar, m) ⊦ dups(nx), valid-vtbl(apebs, vols, wlar.mapIndices(nx, f), m)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ valid-vtbl(apebs, vols, wlar, n0) ↔ n0 < # apebs ∧ n0 < # wlar ∧ wlar[n0].status = used ∧ apebs[n0].vidhdr.vol = VTBL_VOLID ∧ apebs[n0].vidhdr.leb = VTBL_LNUM ∧ is-encoded(to-vtbl(vols), apebs[n0].data)
Proof step 5:
apebs[m].vidhdr.leb = VTBL_LNUM, wlar[m].status = used, apebs[m].vidhdr.vol = VTBL_VOLID, m < # apebs, m < # wlar, indices-erasing(wlar, nx), is-encoded(to-vtbl(vols), apebs[m].data), valid-indices(wlar, nx) ⊦ dups(nx), valid-vtbl(apebs, vols, wlar.mapIndices(nx, f), m)

Rule argument

spec: ubi-base name: valid-vtbl seq: ⊦ valid-vtbl(apebs, vols, wlar, n0) ↔ n0 < # apebs ∧ n0 < # wlar ∧ wlar[n0].status = used ∧ apebs[n0].vidhdr.vol = VTBL_VOLID ∧ apebs[n0].vidhdr.leb = VTBL_LNUM ∧ is-encoded(to-vtbl(vols), apebs[n0].data) subst: [n0, wlar, vols, apebs] → [m, wlar, vols, apebs] flags: <all paths>

Additional information

Used terms: m, wlar, vols, apebs