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Proof step 1 from proof datasize-datasize-elim-h (conclusion)

n ≤ # buf ⊦ datasize(buf, datasize(buf, n)) = datasize(buf, n)

User applied rule structural induction

And obtained the following new goals

Proof step 2:
⊦ datasize(buf, 0) = 0
Proof step 3:
n0 +1 ≤ # buf, ∀ buf. n0 ≤ # buf → datasize(buf, datasize(buf, n0)) = datasize(buf, n0) ⊦ datasize(buf, datasize(buf, n0 +1)) = datasize(buf, n0 +1)

Rule argument

indvar: n

Additional information

Used simplifier rules: datasize-base: ⊦ datasize(buf, 0) = 0;%nat freely generated by 0, +1;;