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Proof step 1 from proof gc-heap-in (conclusion)

⊦ key-index(n0, n1) ∈ gc-heap(lpt, nx) ↔ n1 < # lpt ∧ ¬ n1 ∈ nx ∧ lpt[n1].ref-size = n0 ∧ lpt[n1].flags = LP_GROUP_NODES

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ key-index(n0, n1) ∈ gc-heap(lpt, nx, # lpt) ↔ n1 < # lpt ∧ ¬ n1 ∈ nx ∧ lpt[n1].ref-size = n0 ∧ lpt[n1].flags = LP_GROUP_NODES

Rule argument

Additional information

Used simplifier rules: gc-heap: ⊦ gc-heap(lpt, nx) = gc-heap(lpt, nx, # lpt);