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Proof step 20 from proof is-encoded-emptypage-middle (previous step)

# buf = 0, # buf0 = EB_PAGE_SIZE, emptypage + buf1 = buf0 + buf2, is-encoded(nx0, buf2), is-encoded(rnode(m), buf0), ∀ 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 21:
⊦ # buf = # buf0 → (buf + buf1 = buf0 + buf2 ↔ buf = buf0 ∧ buf1 = buf2)

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] → [buf2, buf0, buf1, emptypage] flags: <all paths>

Additional information

Used simplifier rules: is-encoded-emptypage: ⊦ ¬ is-encoded(rnd, emptypage);% ⊦ # emptypage = EB_PAGE_SIZE; (s) Used terms: buf2, buf0, buf1, emptypage