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Proof step 5 from proof replay-one-update (previous step)

ro.inodes?, orphans-cons(fs, ri, ro), ri-closed(ri, fs, ro), key ∈ ri, ∀ key. key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]]) ⊦ replay-one(adr, fs[ri[key]], ri ⊖ ro) = ri[key, adr] ⊖ ro

User applied rule all left

And obtained the following new goals

Proof step 6:
ro.inodes?, orphans-cons(fs, ri, ro), ri-closed(ri, fs, ro), key ∈ ri, key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]]), ∀ key. key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]]) ⊦ replay-one(adr, fs[ri[key]], ri ⊖ ro) = ri[key, adr] ⊖ ro

Rule argument

pos: left 5 terms: key abort: F discard: F computed: T

Additional information

Used terms: key