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Proof step 32 from proof prepost-read-orphans (previous step)

m4 + # lpt = # avol, LEB_SIZE = n0 + # buf3 + # buf0, avol[m5] = mapped(buf1), avol[m1] = mapped(buf3 + buf0), avol[0] = mapped(buf2), m1 < # avol, disk-layout(mksb(adr, m6, m5, m1, # orphans0, m3, m4), # lpt), ebm-vol-inv(avol), is-aligned(# buf3 + # buf0, EB_PAGE_SIZE), is-encoded(mksb(adr, m6, m5, m1, # orphans0, m3, m4), buf2), is-encoded(lpt, lebs(avol, m3, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded(orphans0, buf3), mapped-full?(avol, m3, lptlebs(# lpt, LEB_SIZE)), # orphans0 * ENCODED_NAT_SIZE ≤ LEB_SIZE, # buf3 + # buf0 ≤ LEB_SIZE, logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ is-encoded(orphans0, subarray((buf3 + buf0) + mkempbuf(n0), 0, # orphans0 * ENCODED_NAT_SIZE))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array-splice, inst: buffer name: append-a seq: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1 subst: [buf1, buf0, buf] → [mkempbuf(n0), buf0, buf3] flags: <all paths>

Additional information

Used terms: mkempbuf(n0), buf0, buf3