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Proof step 18 from proof prepost-encode-orphans (previous step)

# buf0 = # buf, subarray(buf0, 0, m0) = subarray(buf, 0, m0), subarray(buf0, m0 + ENCODED_NAT_SIZE, # buf - m0 + ENCODED_NAT_SIZE) = subarray(buf, m0 + ENCODED_NAT_SIZE, # buf - m0 + ENCODED_NAT_SIZE), is-aligned(# buf, EB_PAGE_SIZE), is-encoded(orphans2 \ orphans1, subarray(buf, 0, m0)), n ∈ orphans1, n ∈ orphans2, # buf ≤ LEB_SIZE, # orphans2 * ENCODED_NAT_SIZE ≤ LEB_SIZE, m0 + # orphans1 * ENCODED_NAT_SIZE ≤ # buf, m0 + # orphans1 * ENCODED_NAT_SIZE ≤ LEB_SIZE, m0 + ENCODED_NAT_SIZE ≤ # buf, m0 + ENCODED_NAT_SIZE ≤ LEB_SIZE, orphans1 ⊆ orphans2, err = ESUCCESS → is-encoded(n, subarray(buf0, m0, ENCODED_NAT_SIZE)) ∧ m = ENCODED_NAT_SIZE, err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪orphans := orphans1 -- n⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ orphans ⊆ orphans2 ∧ ( err = ESUCCESS → (m0 + ENCODED_NAT_SIZE) + # orphans * ENCODED_NAT_SIZE ≤ # buf ∧ is-encoded(orphans2 \ orphans, subarray(buf0, 0, m0 + ENCODED_NAT_SIZE))) ∧ # orphans < # orphans1), # orphans2 = 0, # orphans1 = 0, orphans1 = ∅, orphans2 = ∅

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 19:
# buf0 = # buf, subarray(buf0, m0 + ENCODED_NAT_SIZE, # buf - m0 + ENCODED_NAT_SIZE) = subarray(buf, m0 + ENCODED_NAT_SIZE, # buf - m0 + ENCODED_NAT_SIZE), subarray(buf0, 0, m0) = subarray(buf, 0, m0), is-aligned(# buf, EB_PAGE_SIZE), is-encoded(orphans2 \ orphans1, subarray(buf, 0, m0)), n ∈ orphans2, n ∈ orphans1, m0 + ENCODED_NAT_SIZE ≤ LEB_SIZE, m0 + ENCODED_NAT_SIZE ≤ # buf, m0 + # orphans1 * ENCODED_NAT_SIZE ≤ LEB_SIZE, m0 + # orphans1 * ENCODED_NAT_SIZE ≤ # buf, # orphans2 * ENCODED_NAT_SIZE ≤ LEB_SIZE, # buf ≤ LEB_SIZE, orphans1 ⊆ orphans2, err = ESUCCESS → is-encoded(n, subarray(buf0, m0, ENCODED_NAT_SIZE)) ∧ m = ENCODED_NAT_SIZE, err = ESUCCESS ∨ ⌊err⌋ ⊦ # orphans1 = 0, # orphans2 = 0, orphans1 = ∅, orphans2 = ∅, (err = ESUCCESS ∨ ⌊err⌋ ) ∧ orphans1 -- n ⊆ orphans2 ∧ ( err = ESUCCESS → (m0 + ENCODED_NAT_SIZE) + #(orphans1 -- n) * ENCODED_NAT_SIZE ≤ # buf ∧ is-encoded(orphans2 \ (orphans1 -- n), subarray(buf0, 0, m0 + ENCODED_NAT_SIZE))) ∧ #(orphans1 -- n) < # orphans1

Proof step 18 from proof prepost-encode-orphans (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information