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Proof step 42 from proof abs-istore-crash (previous step)

# avol0 = # lpt, # lpt0 = # lpt, crash(istore, istore0)[n] = indexblock(indx2, lax3, 0), istore0[n] = indexblock(indx1, lax2, m0), istore[n] = indexblock(indx0, lax0, m3), remove-refsize0(crash(istore, istore0))[n] = indexblock(indx, lax, m), lpt[n] = mklp(m3, m5, LP_INDEX_NODES, m6), (∅)[n] = groupblock(gndx, lax1, m7), lpt0[n] = mklp(m0, m10, LP_INDEX_NODES, m2), dom istore ∩ elems nx = ∅, n < # lpt, abs-leb(avol0[n], indexblock(indx0, lax0, m3), mklp(m3, m5, LP_INDEX_NODES, m6)), synced(avol0), avol1 ↓ avol0, n ∈ istore0, n ∈ istore, istore0 ⊑ istore, ∀ n. n < # lpt ∧ lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0 ⊦ m0 = 0, n ∈ gstore0, abs-leb(avol1[n], indexblock(indx, lax, m), mklp(m, LEB_SIZE, LP_INDEX_NODES, m2)) ∧ m0 = m

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: apersistence-base name: crash-index-at seq: ⊦ n ∈ istore0 → crash(istore, istore0)[n] = indexblock (istore[n].indlist, istore[n].ladrlist, istore0[n].ref-size) subst: [n, istore0, istore] → [n, istore0, istore] flags: <all paths>

Additional information

Used simplifier rules: ⊦ indexblock(indx, lax, m) = indexblock(indx0, lax0, m0) ↔ indx = indx0 ∧ lax = lax0 ∧ m = m0; (ws)% ⊦ indexblock(indx, lax, m).ref-size = m; (s) Used terms: n, istore0, istore