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

n ≤ # buf ⊦ datasize(buf, n) = 0 ↔ (∃ buf0. buf = mkempbuf(n) + buf0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ datasize(buf, m) = 0 ↔ (∀ n. n < m → buf[n] = empty)
Proof step 3:
n ≤ # buf ⊦ (∀ n0. n0 < n → buf[n0] = empty) ↔ (∃ buf0. buf = mkempbuf(n) + buf0)

Rule argument

spec: datasize name: datasize-zero-h seq: ⊦ datasize(buf, m) = 0 ↔ (∀ n. n < m → buf[n] = empty) subst: [m, buf] → [n, buf] flags: <all paths>

Additional information

Used terms: n, buf