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Proof step 15 from proof remove-wbufs-rec (previous step)

n0 < # lpt, n0 ∈ ns ⊦ lpt[n0].size:= LEB_SIZE = lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[n0], n0 = n, n ∈ ns

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
n0 < # lpt, n0 ∈ ns ⊦ # ns = 0, lpt[n0].size:= LEB_SIZE = lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[n0], ns = ∅, n ∈ ns

Rule argument

Additional information

Used simplifier rules: size-zero-01: ⊦ ns ≠ ∅ → # ns ≠ 0; (forward) from specification set-basic[nat-set]%ne-01: ⊦ n ∈ ns → ns ≠ ∅; (forward) from specification set-basic[nat-set]