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Proof step 14 from proof gc-heap-free-h (previous step)

lpt[m3] = mklp(m, m4, LP_GROUP_NODES, m5), m3 < # lpt, key-index(m, m3) ∈ gc-heap(lpt, nx, m3) ⊦ # gc-heap(lpt, nx, m3) = 0, gc-heap(lpt, nx, m3) = ∅, m3 ∈ nx

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ n ≤ # lpt → (key-index(n0, n1) ∈ gc-heap(lpt, nx, n) ↔ n1 < n ∧ ¬ n1 ∈ nx ∧ lpt[n1].ref-size = n0 ∧ lpt[n1].flags = LP_GROUP_NODES)

Rule argument

spec: <toplevel> name: gc-heap-in-h seq: ⊦ n ≤ # lpt → ( key-index(n0, n1) ∈ gc-heap(lpt, nx, n) ↔ n1 < n ∧ ¬ n1 ∈ nx ∧ lpt[n1].ref-size = n0 ∧ lpt[n1].flags = LP_GROUP_NODES) subst: [n, nx, lpt, n1, n0] → [m3, nx, lpt, m3, m] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < n → m ≤ n; (s)% ⊦ ¬ n < n; (s) Used terms: m3, nx, lpt, m3, m