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Proof step 3 from proof gc-heap-append-log (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: gc-heap-append-log-h seq: ⊦ m ≤ # lpt ∧ lpt[n] = mklp(n0, n1, LP_GROUP_NODES, n2) ∧ ¬ n ∈ nx → gc-heap(lpt, n ' + nx, m) = gc-heap(lpt, nx, m) -- key-index(lpt[n].ref-size, n) subst: [n0, n1, n2, m, nx, n, lpt] → [n0, n1, n2, # lpt, nx, n, lpt] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m ≤ m; (s)% ⊦ mklp(n2, n3, lpf, m).ref-size = n2; (s) Used terms: n0, n1, n2, # lpt, nx, n, lpt