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Proof step 3 from proof gc-heap-write-other (previous step)

lpt[n] = mklp(m0, m1, lpf0, m2), n < # lpt ⊦ gc-heap(lpt[n, mklp(n0, n1, lpf1, n2)], nx, # lpt) = gc-heap(lpt, nx, # lpt), lpf0 = LP_GROUP_NODES, lpf1 = LP_GROUP_NODES

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
lpf0 ≠ LP_GROUP_NODES, lpf1 ≠ LP_GROUP_NODES ⊦ lpt[n] = mklp(m0, m1, lpf0, m2) ∧ n < # lpt ∧ m ≤ # lpt → gc-heap(lpt[n, mklp(n0, n1, lpf1, n2)], nx, m) = gc-heap(lpt, nx, m)

Rule argument

spec: <toplevel> name: gc-heap-write-other-h seq: lpf0 ≠ LP_GROUP_NODES, lpf1 ≠ LP_GROUP_NODES ⊦ lpt[n] = mklp(m0, m1, lpf0, m2) ∧ n < # lpt ∧ m ≤ # lpt → gc-heap(lpt[n, mklp(n0, n1, lpf1, n2)], nx, m) = gc-heap(lpt, nx, m) subst: [lpf0, m0, m1, m2, m, nx, n2, lpf1, n1, n0, n, lpt] → [lpf0, m0, m1, m2, # lpt, nx, n2, lpf1, n1, n0, n, lpt] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m ≤ m; (s) Used terms: lpf0, m0, m1, m2, # lpt, nx, n2, lpf1, n1, n0, n, lpt