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Proof step 5 from proof referenced-adrs-lookup-keys-in-dom (previous step)

ri-cons(ri, fs), ∀ ri, fs. ri-cons(ri, fs) → fs[referenced-adrs(ax0, ri)].keys.toSet ⊆ dom ri ⊦ fs[(adr ∈ ri ⊃ adr ';[])].keys.toSet ∪ fs[referenced-adrs(ax0, ri)].keys.toSet ⊆ dom ri

User applied rule all left

And obtained the following new goals

Proof step 6:
ri-cons(ri, fs), ri-cons(ri, fs) → fs[referenced-adrs(ax0, ri)].keys.toSet ⊆ dom ri ⊦ fs[(adr ∈ ri ⊃ adr ';[])].keys.toSet ∪ fs[referenced-adrs(ax0, ri)].keys.toSet ⊆ dom ri

Rule argument

pos: left 2 terms: ri, fs abort: F discard: T computed: T

Additional information

Used terms: ri, fs