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

⊦ datasize(buf, m) = 0 ↔ (∀ n. n < m → buf[n] = empty)

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 2:
⊦ datasize(buf, 0) = 0
Proof step 3:
∀ buf. datasize(buf, m0) = 0 ↔ (∀ n. n < m0 → buf[n] = empty) ⊦ datasize(buf, m0 +1) = 0 ↔ (∀ n. n < m0 +1 → buf[n] = empty)

Rule argument

term: m

Additional information

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