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Proof step 1 from proof gc-heap-update-h (conclusion)

⊦ n < m ∧ m ≤ # lpt ∧ lpt[n] = mklp(n0, n1, LP_GROUP_NODES, n2) ∧ ¬ n ∈ nx → gc-heap(lpt[n, mklp(m0, m1, LP_GROUP_NODES, m2)], nx, m) = (gc-heap(lpt, nx, m) -- key-index(n0, n)) ++ key-index(m0, n)

System applied rule normalize

And obtained the following new goals

Proof step 2:
lpt[n] = mklp(n0, n1, LP_GROUP_NODES, n2), n < m, m ≤ # lpt ⊦ gc-heap(lpt[n, mklp(m0, m1, LP_GROUP_NODES, m2)], nx, m) = (gc-heap(lpt, nx, m) -- key-index(n0, n)) ++ key-index(m0, n), n ∈ nx

Proof step 1 from proof gc-heap-update-h (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information