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Proof step 15 from proof is-encoded-emptypage-append (previous step)

# 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) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ # buf = # buf0 → (buf + buf1 = buf0 + buf2 ↔ buf = buf0 ∧ buf1 = buf2)
Proof step 17:
# buf0 = EB_PAGE_SIZE, # buf2 = EB_PAGE_SIZE, # buf2 = # buf0, buf3 + emptypage = buf1, buf2 = buf0, 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) ⊦

Rule argument

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

Additional information

Used terms: buf1, buf0, buf3 + emptypage, buf2