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Proof step 39 from proof prepost-add-log-leb (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: encoding-log name: is-encoded-app-one seq: ⊦ is-encoded(nx + n ', buf) ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ is-encoded(nx, buf0) ∧ is-encoded(rnode(n), buf1)) subst: [buf, n, nx] → [buf1 + buf3, m8, log] flags: <all paths>

Additional information

Used terms: buf1 + buf3, m8, log