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Proof step 12 from proof encoding-shift (previous step)

# buf0 = # buf1, # buf1 = align↑(# lpt * ENCODED_LPROPS_SIZE, LEB_SIZE), subarray(buf0, 0, n * ENCODED_LPROPS_SIZE) = subarray(buf1, 0, n * ENCODED_LPROPS_SIZE), m < # lpt, n < # lpt, is-encoded(lpt[n], subarray(buf1, n * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)), is-encoded(lpt[m], subarray(buf0, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)), m ≤ n, n * ENCODED_LPROPS_SIZE + ENCODED_LPROPS_SIZE ≤ # buf1 ⊦ is-encoded(lpt[m], subarray(buf1, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE))

User applied rule cut formula

And obtained the following new goals

Proof step 13:
# buf1 = align↑(# lpt * ENCODED_LPROPS_SIZE, LEB_SIZE), # buf0 = # buf1, subarray(buf0, 0, n * ENCODED_LPROPS_SIZE) = subarray(buf1, 0, n * ENCODED_LPROPS_SIZE), n < # lpt, m < # lpt, is-encoded(lpt[m], subarray(buf0, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)), is-encoded(lpt[n], subarray(buf1, n * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)), n * ENCODED_LPROPS_SIZE + ENCODED_LPROPS_SIZE ≤ # buf1, m ≤ n ⊦ subarray(buf1, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE) = subarray(buf0, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE), is-encoded(lpt[m], subarray(buf1, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE))

Rule argument

fma: subarray(buf1, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE) = subarray(buf0, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)

Additional information

Used simplifier rules: is-encoded-size: ⊦ is-encoded(lp, buf) → # buf = ENCODED_LPROPS_SIZE; (forward) from specification encoding-fixed-size[encoding-lprops] Used formulas: subarray(buf1, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE) = subarray(buf0, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)