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Proof step 13 from proof is-encoded-emptypage-append (previous step)

# buf0 = EB_PAGE_SIZE, # buf2 = EB_PAGE_SIZE, (buf2 + buf3) + emptypage = buf0 + buf1, is-aligned(# buf3, EB_PAGE_SIZE), is-encoded(rnode(m), buf0), is-encoded(nx0, buf1), ∀ buf2. ¬ is-aligned(# buf2, EB_PAGE_SIZE) ∨ ¬ is-encoded(nx0, buf2 + emptypage) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ (buf + buf0) + buf1 = buf + buf0 + buf1
Proof step 15:
# buf2 = EB_PAGE_SIZE, # buf0 = EB_PAGE_SIZE, buf2 + buf3 + emptypage = buf0 + buf1, is-aligned(# buf3, EB_PAGE_SIZE), is-encoded(nx0, buf1), is-encoded(rnode(m), buf0), ∀ buf2. ¬ is-aligned(# buf2, EB_PAGE_SIZE) ∨ ¬ is-encoded(nx0, buf2 + emptypage) ⊦

Rule argument

spec: array-splice, inst: buffer name: append-a seq: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1 subst: [buf1, buf0, buf] → [emptypage, buf3, buf2] flags: <all paths>

Additional information

Used terms: emptypage, buf3, buf2