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Proof step 67 from proof refine-read (previous step)

# buf5 = n3 + n2 + n1, # buf1 = # buf5, # avol0 = # lpt + m6, avol0[m6 + m8] = mapped(buf), avol0[0] = mapped(buf2), avol0[m3] = mapped(buf3), avol0[m2] = mapped(buf4), m8 < # lpt, m8 < # subarray(avol0, m6, # lpt), disk-layout(mksb(adr, m9, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(subarray(avol0, m6, # lpt)), ebm-vol-inv(avol0), is-encoded(mksb(adr, m9, m2, m3, m4, m5, m6), buf2), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf4), is-encoded-pad(orphans, m4, buf3), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), range=(buf5, 0, buf1, 0, n2), range=(buf5, n2 + n1, buf1, n2 + n1, n3), n2 + n1 ≤ # buf5, m7 + n1 ≤ LEB_SIZE, m6 ≤ # avol0, m6 + # lpt ≤ # avol0, ⌊err0⌋ , logoff ≠ LEB_SIZE → # buf4 = logoff ⊦ subarray(avol0, m6, # lpt)[m8].mapped?

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ unmapped ≠ mapped(buf); (s)%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ aleb.mapped? ↔ aleb ≠ unmapped; (ss)% ⊦ n0 < n → subarray(avol, m, n)[n0] = avol[m + n0]; (s)% ⊦ # subarray(avol, m, n) = n; (s)