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Proof step 38 from proof prepost-encode-orphans (previous step)

is-aligned(# buf, EB_PAGE_SIZE), is-encoded(orphans2, subarray(buf, 0, m0)), # orphans2 * ENCODED_NAT_SIZE ≤ LEB_SIZE, # buf ≤ LEB_SIZE, m0 ≤ # buf, m0 ≤ LEB_SIZE ⊦ ∃ buf0, buf1. is-aligned(# buf0 + # buf1, EB_PAGE_SIZE) ∧ buf = buf0 + buf1 ∧ is-encoded(orphans2, buf0)

User applied rule exists right

And obtained the following new goals

Proof step 39:
is-aligned(# buf, EB_PAGE_SIZE), is-encoded(orphans2, subarray(buf, 0, m0)), m0 ≤ LEB_SIZE, m0 ≤ # buf, # buf ≤ LEB_SIZE, # orphans2 * ENCODED_NAT_SIZE ≤ LEB_SIZE ⊦ is-aligned(# subarray(buf, 0, m0) + # subarray(buf, m0, # buf - m0), EB_PAGE_SIZE) ∧ buf = subarray(buf, 0, m0) + subarray(buf, m0, # buf - m0) ∧ is-encoded(orphans2, subarray(buf, 0, m0))

Rule argument

pos: right 1 terms: subarray(buf, 0, m0), subarray(buf, m0, # buf - m0) abort: F discard: T computed: F

Additional information

Used terms: subarray(buf, 0, m0), subarray(buf, m0, # buf - m0)