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Proof step 247 from proof inv-commit (previous step)

# buf3 = lptsize(# lpt, LEB_SIZE), # lpt0 = # lpt, (5 + 2 * lptlebs(# lpt, LEB_SIZE)) + # lpt = # avol0, avol0[0] = mapped(buf2), avol0[4] = mapped(buf0), avol0[2] = mapped(buf1), 3 < # avol0, ebm-vol-inv(avol0[1, mapped(mkbuf(0))]), ebm-vol-inv(avol0), ebm-vol-inv(avol0[1, mapped(mkbuf(0))][3, mapped(buf)]), is-encoded(lpt, buf3), is-encoded(log, buf1), is-encoded(lpt0, lebs(avol0, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr0, m2, 2, 4, m6, 5 + lptlebs(# lpt, LEB_SIZE), 5 + 2 * lptlebs(# lpt, LEB_SIZE)), buf2), is-encoded-pad(orphans0, m6, buf0), is-encoded-pad(orphans, # orphans, buf), mapped-full?(avol0, 5 + lptlebs(# lpt, LEB_SIZE), lptlebs(# lpt, LEB_SIZE)), 5 + 2 * lptlebs(# lpt, LEB_SIZE) ≤ # avol0, 5 + lptlebs(# lpt, LEB_SIZE) ≤ # avol0, logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ # buf3 = lptlebs(# lpt, LEB_SIZE) * LEB_SIZE

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 1 flags: discard

Additional information

Used simplifier rules: ⊦ lptlebs(n, LEB_SIZE) * LEB_SIZE = lptsize(n, LEB_SIZE) ↔ true; (s)%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult