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Proof step 2 from proof gc-heap-fill-free (previous step)

⊦ # gc-heap(fill(mklparray(n), mklp(n0, n1, LP_FREE, n2)), nx, n) = 0, gc-heap(fill(mklparray(n), mklp(n0, n1, LP_FREE, n2)), nx, n) = ∅

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ m ≤ n → gc-heap(fill(mklparray(n), mklp(n0, n1, LP_FREE, n2)), nx, m) = ∅

Rule argument

spec: <toplevel> name: gc-heap-fill-free-h seq: ⊦ m ≤ n → gc-heap (fill(mklparray(n), mklp(n0, n1, LP_FREE, n2)), nx, m) = ∅ subst: [m, nx, n2, n1, n0, n] → [n, nx, n2, n1, n0, n] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ ¬ n < n; (s) Used terms: n, nx, n2, n1, n0, n