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Proof step 2 from proof gc-heap-append-log-h (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
lpt[n] = mklp(n0, n1, LP_GROUP_NODES, n2), m ≤ # lpt ⊦ gc-heap(lpt, n ' + nx, m) = gc-heap(lpt, nx, m) -- key-index(n0, n), n ∈ nx

Rule argument

Additional information

Used simplifier rules: ⊦ mklp(n2, n3, lpf, m).ref-size = n2; (s)