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Proof step 4 from proof datasize-at (previous step)

datasize(buf, # buf) < # buf, n < # buf, datasize(buf, # buf) ≤ n ⊦ buf[n] = empty

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ datasize(buf, m) ≤ n ∧ n < m ∧ m ≤ # buf → buf[n] = empty

Rule argument

spec: <toplevel> name: datasize-at-h seq: ⊦ datasize(buf, m) ≤ n ∧ n < m ∧ m ≤ # buf → buf[n] = empty subst: [m, n, buf] → [# buf, n, buf] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m ≤ m; (s) Used terms: # buf, n, buf