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Proof step 24 from proof prepost-decode-lpt (previous step)

# buf = lptsize(n1 + n0, LEB_SIZE), # lpt1 = n1 + n0, # lpt2 = n1 + n0, m < n1 + n0, is-encoded(lp0, subarray(buf, n0 * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)), is-encoded(lpt1, buf, n0), m ≤ n0, n0 * ENCODED_LPROPS_SIZE + ENCODED_LPROPS_SIZE ≤ # buf ⊦ n1 = 0, is-encoded(lpt1[n0, lp0][m], subarray(buf, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE))

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 25:
# lpt2 = n1 + n0, # lpt1 = n1 + n0, # buf = lptsize(n1 + n0, LEB_SIZE), m < n1 + n0, is-encoded(lpt1, buf, n0), is-encoded(lp0, subarray(buf, n0 * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE)), n0 * ENCODED_LPROPS_SIZE + ENCODED_LPROPS_SIZE ≤ # buf, m ≤ n0 ⊦ m = n0, n1 = 0, is-encoded(lpt1[n0, lp0][m], subarray(buf, m * ENCODED_LPROPS_SIZE, ENCODED_LPROPS_SIZE))

Rule argument

fma: m = n0

Additional information

Used simplifier rules: ⊦ m ≤ m; (s)% ⊦ m < m + n ↔ n ≠ 0; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m + m0 ≤ m ↔ m0 = 0; (s)%m < # lpt ⊦ lpt[m, lp][m] = lp; (s)% ⊦ is-encoded(lp, buf) → (is-encoded(lp0, buf) ↔ lp = lp0); (s) Used formulas: m = n0