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Proof step 5 from proof gc-heap-append-log-h (previous step)

lpt[n] = mklp(n0, n1, LP_GROUP_NODES, n2), m ≤ # lpt ⊦ n ∈ nx, ∀ ki. ki ∈ gc-heap(lpt, n ' + nx, m) ↔ ki ∈ gc-heap(lpt, nx, m) -- key-index(n0, n)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
lpt[n] = mklp(n0, n1, LP_GROUP_NODES, n2), m ≤ # lpt ⊦ ki ∈ gc-heap(lpt, n ' + nx, m) ↔ ki ≠ key-index(n0, n) ∧ ki ∈ gc-heap(lpt, nx, m), n ∈ nx

Rule argument

Additional information

Used simplifier rules: ⊦ ki ∈ gchs -- ki0 ↔ ki ≠ ki0 ∧ ki ∈ gchs; (s)