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Proof step 5 from proof encoding-shift (previous step)

# buf0 = # buf1, subarray(buf0, 0, n * ENCODED_LPROPS_SIZE) = subarray(buf1, 0, n * ENCODED_LPROPS_SIZE), n < # lpt, is-encoded(lpt[n], subarray(buf1, n * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)), is-encoded(lpt, buf0, n), n * ENCODED_LPROPS_SIZE + ENCODED_LPROPS_SIZE ≤ # buf1 ⊦ # buf1 = lptsize(# lpt, LEB_SIZE) ∧ (∀ m. m < # lpt ∧ m < n + 1 → is-encoded(lpt[m], subarray(buf1, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
# buf0 = # buf1, subarray(buf0, 0, n * ENCODED_LPROPS_SIZE) = subarray(buf1, 0, n * ENCODED_LPROPS_SIZE), n < # lpt, is-encoded(lpt, buf0, n), is-encoded(lpt[n], subarray(buf1, n * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)), n * ENCODED_LPROPS_SIZE + ENCODED_LPROPS_SIZE ≤ # buf1 ⊦ # buf1 = align↑(# lpt * ENCODED_LPROPS_SIZE, LEB_SIZE) ∧ (m < # lpt ∧ ¬ n < m → is-encoded(lpt[m], subarray(buf1, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)))

Rule argument

Additional information

Used simplifier rules: lpt-size: ⊦ lptsize(mainareasize, n) = align↑(mainareasize * ENCODED_LPROPS_SIZE, n);%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m < n + 1 ↔ ¬ n < m; (s)