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Proof step 8 from proof is-encoded-emptypage-append (previous step)

# buf0 = EB_PAGE_SIZE, buf + emptypage = buf0 + buf1, is-aligned(# buf, 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 apply lemma

And obtained the following new goals

Proof step 9:
⊦ n ≤ # buf → (∃ buf0, buf1. buf = buf0 + buf1 ∧ # buf0 = n)
Proof step 10:
# buf0 = EB_PAGE_SIZE, buf + emptypage = buf0 + buf1, is-aligned(# buf, EB_PAGE_SIZE), is-encoded(nx0, buf1), is-encoded(rnode(m), buf0), EB_PAGE_SIZE ≤ # buf → (∃ buf0, buf1. buf = buf0 + buf1 ∧ # buf0 = EB_PAGE_SIZE), ∀ buf2. ¬ is-aligned(# buf2, EB_PAGE_SIZE) ∨ ¬ is-encoded(nx0, buf2 + emptypage) ⊦

Rule argument

spec: array-splice, inst: buffer name: array-split1 seq: ⊦ n ≤ # buf → (∃ buf0, buf1. buf = buf0 + buf1 ∧ # buf0 = n) subst: [n, buf] → [EB_PAGE_SIZE, buf]

Additional information

Used terms: EB_PAGE_SIZE, buf