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Proof step 21 from proof decode-contract (previous step)

is-encoded(a, subarray(buf, n, encoding-size(a))), n + align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT) ≤ # buf, n + encoding-size(a) ≤ # buf ⊦ subarray(buf, n, align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT)) = subarray(buf, n, encoding-size(a)) + subarray(buf, n + encoding-size(a), align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT) - encoding-size(a)) ∧ is-encoded(a, subarray(buf, n, encoding-size(a))) ∧ align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT) = size-aligned(a, ENCODED_ELEM_ALIGNMENT)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
is-encoded(a, subarray(buf, n, encoding-size(a))), n + encoding-size(a) ≤ # buf, n + align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT) ≤ # buf ⊦ subarray(buf, n, align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT)) = subarray(buf, n, encoding-size(a)) + subarray(buf, n + encoding-size(a), align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT) - encoding-size(a)) ∧ align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT) = size-aligned(a, ENCODED_ELEM_ALIGNMENT)

Rule argument

Additional information

Used simplifier rules: ⊦ is-encoded(a, buf) → (is-encoded(b, buf) ↔ a = b); (s)