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Proof step 2 from proof datasize-subarray (previous step)

m0 + m1 = # buf ⊦ datasize(subarray(buf, m0, m1)) = (datasize(buf) ≤ m0 ⊃ 0;datasize(buf) - m0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ datasize(buf) = datasize(buf, # buf)
Proof step 4:
m0 + m1 = # buf ⊦ datasize(subarray(buf, m0, m1), m1) = (datasize(buf, m0 + m1) ≤ m0 ⊃ 0;datasize(buf, m0 + m1) - m0)

Rule argument

Additional information

Used simplifier rules: datasize: ⊦ datasize(buf) = datasize(buf, # buf);% ⊦ # subarray(buf, m, n) = n; (s)