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Proof step 128 from proof inv-recover (previous step)

m8 + # lpt0 = # avol1, avol1[0] = mapped(buf2), avol1[m5] = mapped(buf0), avol1[m10] = mapped(buf1), m10 < # avol2, disk-layout(mksb(adr0, m9, m10, m5, m6, m7, m8), # lpt0), ebm-vol-inv(avol1), is-encoded(mksb(adr0, m9, m10, m5, m6, m7, m8), buf2), is-encoded(log0, buf1), is-encoded(lpt0, lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE))), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), m8 ≤ # avol1, m7 + lptlebs(# lpt0, LEB_SIZE) ≤ # avol1, avol1 ⊆ avol2, m3 ≠ LEB_SIZE → # buf1 = m3 ⊦ # lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE)) = lptsize(# lpt0, LEB_SIZE), m7 + lptlebs(# lpt0, LEB_SIZE) < # avol1 ∧ mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 129:
m7 + lptlebs(# lpt0, LEB_SIZE) = # avol1, m8 + # lpt0 = # avol1, avol1[0] = mapped(buf2), avol1[m5] = mapped(buf0), avol1[m10] = mapped(buf1), m10 < # avol2, disk-layout(mksb(adr0, m9, m10, m5, m6, m7, m8), # lpt0), ebm-vol-inv(avol1), is-encoded(mksb(adr0, m9, m10, m5, m6, m7, m8), buf2), is-encoded(log0, buf1), is-encoded(lpt0, lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE))), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), m8 ≤ # avol1, avol1 ⊆ avol2, m3 ≠ LEB_SIZE → # buf1 = m3 ⊦ # lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE)) = lptsize(# lpt0, LEB_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat% ⊦ m ≤ n → (n ≤ m ↔ m = n); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)