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Proof step 18 from proof log-cons-copy-new (previous step)

# kx = # ax0, # kx1 = # ax1, key0 ∈ ri, kx.toSet ⊆ dom ri, kx1.toSet ⊆ dom ri, key0 ∈ ri → ri[key0] ∈ fs ∧ key-cons(key0, fs[ri[key0]]) ⊦ dups(kx), dups(kx1), dups(kx1 + kx), dups(ax1 + ax0), dups(ax1), dups(ax0), key-cons(fs[ri[key0]].key, fs[ri[key0]]), node-cons(fs[ri[key0]].key, fs[ri[key0]]), key0 ∈ kx, key0 ∈ kx1, adr ∈ ax1, adr ∈ ax0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
# kx1 = # ax1, # kx = # ax0, key-cons(key0, fs[ri[key0]]), key0 ∈ ri, ri[key0] ∈ fs, kx1.toSet ⊆ dom ri, kx.toSet ⊆ dom ri ⊦ dups(ax0), dups(ax1), dups(ax1 + ax0), dups(kx1 + kx), dups(kx1), dups(kx), key-cons(fs[ri[key0]].key, fs[ri[key0]]), node-cons(fs[ri[key0]].key, fs[ri[key0]]), adr ∈ ax0, adr ∈ ax1, key0 ∈ kx1, key0 ∈ kx

Proof step 18 from proof log-cons-copy-new (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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