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Proof step 1 from proof datasize-append (conclusion)

⊦ datasize(buf0 + buf1) = (datasize(buf1) = 0 ⊃ datasize(buf0);# buf0 + datasize(buf1))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ datasize(buf) = datasize(buf, # buf)
Proof step 3:
⊦ datasize(buf0 + buf1, # buf0 + # buf1) = (datasize(buf1, # buf1) = 0 ⊃ datasize(buf0, # buf0);# buf0 + datasize(buf1, # buf1))

Rule argument

Additional information

Used simplifier rules: datasize: ⊦ datasize(buf) = datasize(buf, # buf);%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ #(buf + buf0) = # buf + # buf0; (s)