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Proof step 10 from proof refine-commit (previous step)

# avol0 = # lpt1 + m6, # lpt = # lpt1, avol0[m1] = mapped(buf1), avol0[m2] = mapped(buf0), avol0[0] = mapped(buf), disk-layout(mksb(adr0, m0, m1, m2, m4, m5, m6), # lpt1), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m6, # lpt1)), is-encoded(mksb(adr0, m0, m1, m2, m4, m5, m6), buf), is-encoded(lpt1, lebs(avol0, m5, lptlebs(# lpt1, LEB_SIZE))), is-encoded(plog, buf1), is-encoded-pad(ns, m4, buf0), mapped-full?(avol0, m5, lptlebs(# lpt1, LEB_SIZE)), m6 ≤ # avol0, logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ∃ lpt0. m6 + # lpt0 = # avol0 ∧ mapped-full?(avol0, m5, lptlebs(# lpt0, LEB_SIZE)) ∧ is-encoded(lpt0, lebs(avol0, m5, lptlebs(# lpt0, LEB_SIZE)))

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: lpt1

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic Used terms: lpt1