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Proof step 38 from proof refine-read (previous step)

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