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Proof step 1 from proof datasize-append-h-new (conclusion)

⊦ m ≤ # buf0 + # buf1 → datasize(buf0 + buf1, m) = (m ≤ # buf0 ∨ datasize(buf1, m - # buf0) = 0 ⊃ datasize(buf0, min(m, # buf0));# buf0 + datasize(buf1, m - # buf0))

System applied rule normalize

And obtained the following new goals

Proof step 2:
m ≤ # buf0 + # buf1 ⊦ datasize(buf0 + buf1, m) = (m ≤ # buf0 ∨ datasize(buf1, m - # buf0) = 0 ⊃ datasize(buf0, min(m, # buf0));# buf0 + datasize(buf1, m - # buf0))

Proof step 1 from proof datasize-append-h-new (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information