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Proof step 16 from proof encode-contract (previous step)

# buf1 = # buf, # buf = n0 + n + encoding-size(a), subarray(buf1, n + encoding-size(a), n0) = subarray(buf, n + encoding-size(a), n0), subarray(buf1, 0, n) = subarray(buf, 0, n), is-encoded(a, subarray(buf1, n, encoding-size(a))), n + size-aligned(a, ENCODED_ELEM_ALIGNMENT) ≤ # buf, n + encoding-size(a) ≤ # buf ⊦ is-encoded-aligned(a, subarray(buf1, n, size-aligned(a, ENCODED_ELEM_ALIGNMENT))) ∧ align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT) = size-aligned(a, ENCODED_ELEM_ALIGNMENT)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ size-aligned(a, m) = align↑(encoding-size(a), m)
Proof step 18:
# buf = n0 + n + encoding-size(a), # buf1 = # buf, subarray(buf1, 0, n) = subarray(buf, 0, n), subarray(buf1, n + encoding-size(a), n0) = subarray(buf, n + encoding-size(a), n0), is-encoded(a, subarray(buf1, n, encoding-size(a))), n + encoding-size(a) ≤ # buf, n + align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT) ≤ # buf ⊦ is-encoded-aligned(a, subarray(buf1, n, align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT))) ∧ align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT) = align↑(encoding-size(a), ENCODED_ELEM_ALIGNMENT)

Rule argument

spec: <toplevel> name: size-aligned seq: ⊦ size-aligned(a, m) = align↑(encoding-size(a), m) subst: [m, a] → [ENCODED_ELEM_ALIGNMENT, a] flags: <all paths>

Additional information

Used terms: ENCODED_ELEM_ALIGNMENT, a