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Proof step 329 from proof inv-commit (previous step)

# avol1 = # avol0, # lpt0 = # lpt, (5 + 2 * lptlebs(# lpt, LEB_SIZE)) + # lpt = # avol0, avol0[2] = mapped(buf1), avol0[4] = mapped(buf0), avol0[0] = mapped(buf), 3 < # avol0, ebm-vol-inv(avol1), ebm-vol-inv(avol0), ebm-vol-inv(avol0[1, mapped(mkbuf(0))]), id○(avol1, avol0[1, mapped(mkbuf(0))], 3), is-encoded(mksb(adr0, m2, 2, 4, m6, 5 + lptlebs(# lpt, LEB_SIZE), 5 + 2 * lptlebs(# lpt, LEB_SIZE)), buf), is-encoded(lpt0, lebs(avol0, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol0, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# lpt, LEB_SIZE)), 5 + 2 * lptlebs(# lpt, LEB_SIZE) ≤ # avol0, ⌊err⌋ , logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ∃ lpt1. lptlebs(# lpt, LEB_SIZE) = lptlebs(# lpt1, LEB_SIZE) ∧ 2 * lptlebs(# lpt, LEB_SIZE) = 2 * lptlebs(# lpt1, LEB_SIZE) ∧ (5 + 2 * lptlebs(# lpt, LEB_SIZE)) + # lpt1 = # avol0 ∧ mapped-full?(avol0, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol1, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# lpt1, LEB_SIZE)))

User applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: lpt0 abort: F discard: T computed: F

Additional information

Used simplifier rules: n < n0 ⊦ (* n) < m0 + (* n0); (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m + m = 2 * m; (s)%n < m0, m0 + m1 ≤ # avol1 ⊦ id○(avol1, avol0, n) → lebs(avol1, m0, m1) = lebs(avol0, m0, m1); (s)% ⊦ 1 < m ↔ ¬(m = 0 ∨ m = 1); (s)%n < n0 ⊦ (* n) ≠ m0 + (* n0); (s)%n0 < n, n + m ≤ # avol ⊦ lebs(avol[n0, aleb], n, m) = lebs(avol, n, m); (s) Used terms: lpt0