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Proof step 193 from proof inv-commit (previous step)

# lpt0 = # lpt, (5 + 2 * lptlebs(# lpt, LEB_SIZE)) + # lpt = # avol0, avol0[1] = mapped(buf1), avol0[3] = mapped(buf0), avol0[0] = mapped(buf), 2 < # avol0, ebm-vol-inv(avol0), ebm-vol-inv(avol0[2, unmapped]), is-encoded(mksb(adr0, m2, 1, 3, m6, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)), buf), is-encoded(lpt0, lebs(avol0, 5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol0, 5, lptlebs(# lpt, LEB_SIZE)), 5 + 2 * lptlebs(# lpt, LEB_SIZE) ≤ # avol0, ⌊err0⌋ , logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ lebs(avol0[2, unmapped], 5, lptlebs(# avol0 - 5 + 2 * lptlebs(# lpt, LEB_SIZE), LEB_SIZE)) = lebs(avol0, 5, lptlebs(# avol0 - 5 + 2 * lptlebs(# lpt, LEB_SIZE), LEB_SIZE)) ∧ (∃ lpt1. 2 * lptlebs(# lpt, LEB_SIZE) = 2 * lptlebs(# lpt1, LEB_SIZE) ∧ (5 + 2 * lptlebs(# lpt, LEB_SIZE)) + # lpt1 = # avol0 ∧ mapped-full?(avol0, 5, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol0[2, unmapped], 5, lptlebs(# lpt1, LEB_SIZE))))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 194:
# lpt0 = # lpt, # avol0 = n0 + 5 + 2 * lptlebs(# lpt, LEB_SIZE), (5 + 2 * lptlebs(# lpt, LEB_SIZE)) + # lpt = # avol0, avol0[0] = mapped(buf), avol0[3] = mapped(buf0), avol0[1] = mapped(buf1), 2 < # avol0, ebm-vol-inv(avol0[2, unmapped]), ebm-vol-inv(avol0), is-encoded(log, buf1), is-encoded(lpt0, lebs(avol0, 5, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr0, m2, 1, 3, m6, 5, 5 + 2 * lptlebs(# lpt, LEB_SIZE)), buf), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol0, 5, lptlebs(# lpt, LEB_SIZE)), 5 + 2 * lptlebs(# lpt, LEB_SIZE) ≤ # avol0, ⌊err0⌋ , logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ lebs(avol0[2, unmapped], 5, lptlebs(n0, LEB_SIZE)) = lebs(avol0, 5, lptlebs(n0, LEB_SIZE)) ∧ (∃ lpt1. 2 * lptlebs(# lpt, LEB_SIZE) = 2 * lptlebs(# lpt1, LEB_SIZE) ∧ (5 + 2 * lptlebs(# lpt, LEB_SIZE)) + # lpt1 = # avol0 ∧ mapped-full?(avol0, 5, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol0[2, unmapped], 5, lptlebs(# lpt1, LEB_SIZE))))

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [n, m, n0] → [5 + 2 * lptlebs(# lpt, LEB_SIZE), # avol0, n]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: 5 + 2 * lptlebs(# lpt, LEB_SIZE), # avol0, n