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Proof step 3 from proof gc-heap-remove-wbufs-h (previous step)

n ≤ # lpt ⊦ gc-heap(lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE), nx, n) = gc-heap(lpt, nx, n)

User applied rule structural induction

And obtained the following new goals

Proof step 4:
n0 +1 ≤ # lpt, ∀ lpt, ns, nx. n0 ≤ # lpt → gc-heap(lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE), nx, n0) = gc-heap(lpt, nx, n0) ⊦ gc-heap(lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE), nx, n0 +1) = gc-heap(lpt, nx, n0 +1)

Rule argument

indvar: n

Additional information

Used simplifier rules: gc-heap-base: ⊦ gc-heap(lpt, nx, 0) = ∅;%nat freely generated by 0, +1;;