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

# buf0 = EB_PAGE_SIZE, # buf3 = EB_PAGE_SIZE, (buf3 + buf4) + emptypage + buf1 = buf0 + buf2, is-aligned(# buf4, EB_PAGE_SIZE), is-encoded(rnode(m), buf0), is-encoded(nx0, buf2), ∀ buf3, buf4. ¬ is-aligned(# buf3, EB_PAGE_SIZE) ∨ ¬ is-encoded(nx0, buf3 + emptypage + buf4) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ (buf + buf0) + buf1 = buf + buf0 + buf1
Proof step 15:
# buf3 = EB_PAGE_SIZE, # buf0 = EB_PAGE_SIZE, buf3 + buf4 + emptypage + buf1 = buf0 + buf2, is-aligned(# buf4, EB_PAGE_SIZE), is-encoded(nx0, buf2), is-encoded(rnode(m), buf0), ∀ buf3, buf4. ¬ is-aligned(# buf3, EB_PAGE_SIZE) ∨ ¬ is-encoded(nx0, buf3 + emptypage + buf4) ⊦

Rule argument

spec: array-splice, inst: buffer name: append-a seq: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1 subst: [buf1, buf0, buf] → [emptypage + buf1, buf4, buf3] flags: <all paths>

Additional information

Used terms: emptypage + buf1, buf4, buf3