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Proof step 31 from proof refine-remap (previous step)

# avol0 = # lpt + m5, avol0[m1] = mapped(buf1), avol0[m2] = mapped(buf0), avol0[0] = mapped(buf), err = ESUCCESS, m6 < # lpt, disk-layout(mksb(adr, m7, m1, m2, m3, m4, m5), # lpt), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m5, # lpt)), is-encoded(log, buf1), is-encoded(lpt, lebs(avol0, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m7, m1, m2, m3, m4, m5), buf), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol0, m4, lptlebs(# lpt, LEB_SIZE)), logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟨avol := subarray(avol0, m5, # lpt); if err = ESUCCESS then avol[m6] := mapped(mkbuf(0)) else {skip or avol[m6] := unmapped}⟩ ( avol = subarray(avol0, m5, # lpt)[m6, mapped(mkbuf(0))] ∧ is-encoded(log, avol0[m5 + m6, mapped(mkbuf(0))][m1].data) ∧ is-encoded-pad(orphans, m3, avol0[m2].data) ∧ ESUCCESS = err)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 32:
# avol0 = # lpt + m5, avol0[0] = mapped(buf), avol0[m2] = mapped(buf0), avol0[m1] = mapped(buf1), avol = subarray(avol0, m5, # lpt), err = ESUCCESS, m6 < # lpt, disk-layout(mksb(adr, m7, m1, m2, m3, m4, m5), # lpt), ebm-vol-inv(subarray(avol0, m5, # lpt)), ebm-vol-inv(avol0), is-encoded(mksb(adr, m7, m1, m2, m3, m4, m5), buf), is-encoded(lpt, lebs(avol0, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol0, m4, lptlebs(# lpt, LEB_SIZE)), m5 + # lpt ≤ # avol0, logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟨if err = ESUCCESS then avol[m6] := mapped(mkbuf(0)) else {skip or avol[m6] := unmapped}⟩ ( avol = subarray(avol0, m5, # lpt)[m6, mapped(mkbuf(0))] ∧ is-encoded(log, avol0[m5 + m6, mapped(mkbuf(0))][m1].data) ∧ is-encoded-pad(orphans, m3, avol0[m2].data) ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ n ↔ ¬ n < m; (ss)%c: ⊦ m + n = n + m; from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m < n → ¬ n < m; (s)