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Proof step 14 from proof datasize-split-empty-h (previous step)

# buf1 = # mkempbuf(# buf1), n < # buf1, n < m0, m0 ≤ # buf1, ∀ n. n < # buf1 → buf1[n] = mkempbuf(# buf1)[n] ⊦ # buf0 + datasize(buf1, m0) = datasize(buf0, # buf0), buf1[n] = empty

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
n < m0, n < # buf1, m0 ≤ # buf1, ∀ n0. n0 < # buf1 → buf1[n0] = empty ⊦ # buf0 + datasize(buf1, m0) = datasize(buf0, # buf0), buf1[n] = empty

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → mkempbuf(n)[m] = empty; (s)% ⊦ # mkempbuf(n) = n; (s)