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Proof step 21 from proof gc-heap-remove-wbufs-h (previous step)

(n0 ∈ ns ⊃ mklp(m, LEB_SIZE, lpf, m1);mklp(m, m0, lpf, m1)) = mklp(m2, m3, LP_GROUP_NODES, m4), lpt[n0] = mklp(m, m0, lpf, m1), gc-heap(lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE), nx, n0) = gc-heap(lpt, nx, n0), n0 < # lpt ⊦ lpf = LP_GROUP_NODES, n0 ∈ nx, key-index(m2, n0) ∈ gc-heap(lpt, nx, n0)

Heuristic if-then-else split applied rule case distinction

And closed the goal!

Rule argument

pos: left 1

Additional information

Used simplifier rules: ⊦ mklp(m, m0, lpf, m1) = mklp(m2, m3, lpf0, m4) ↔ m = m2 ∧ m0 = m3 ∧ lpf = lpf0 ∧ m1 = m4; (ws)