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Proof step 41 from proof prepost-add-log-leb (previous step)

# buf3 = EB_PAGE_SIZE, m5 + # lpt = # avol, avol[0] = mapped(buf2), avol[m2] = mapped(buf0), avol[m6] = mapped(buf1), m6 < # avol, disk-layout(mksb(adr, m7, m6, m2, m3, m4, m5), # lpt), ebm-vol-inv(avol), ebm-vol-inv(avol[m6, mapped(buf1 + buf3)]), is-encoded(log, buf1), is-encoded(lpt, lebs(avol, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m7, m6, m2, m3, m4, m5), buf2), is-encoded(rnode(m8), buf3), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol, m4, lptlebs(# lpt, LEB_SIZE)), # buf1 + EB_PAGE_SIZE ≤ LEB_SIZE ⊦ # buf1 = LEB_SIZE, ∃ buf0, buf2. buf1 + buf3 = buf0 + buf2 ∧ is-encoded(log, buf0) ∧ is-encoded(rnode(m8), buf2)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: buf1, buf3

Additional information

Used simplifier rules: ⊦ is-encoded(nx0, buf) → (is-encoded(nx1, buf) ↔ nx0 = nx1); (s)% ⊦ is-encoded(rnd, buf) → (is-encoded(rnd0, buf) ↔ rnd = rnd0); (s) Used terms: buf1, buf3