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Proof step 8 from proof ubifs-cons-dentry-target-not-in-orphans (previous step)

fs[ri[dentrykey(ino, str)]] = dentrynode(key, m), fo.inodes?, ro.inodes?, log-cons(log, fs), ri-cons(ri, fs), inodekey(m) ∈ ri, inodekey(ino) ∈ ri, inodekey(m) ∈ ro, dentrykey(ino, str) ∈ ri, fo ⊆ dom fi, ro ⊆ dom ri, ∀ key. key ∈ ri → ri[key] ∈ fs ∧ node-closed(fs[ri[key]], ri, fs, ro) ⊦ # ro = 0, ro = ∅, dups(log), inodekey(0) ∈ ri

User applied rule all left

And closed the goal!

Rule argument

pos: left 12 terms: dentrykey(ino, str) abort: F discard: F computed: T

Additional information

Used simplifier rules: ⊦ node-closed(dentrynode(key, ino), ri, fs, ro) ↔ inodekey(key.ino) ∈ ri ∧ ¬ inodekey(key.ino) ∈ ro ∧ fs[ri[inodekey(key.ino)]].directory ∧ inodekey(ino) ∈ ri ∧ ¬ inodekey(ino) ∈ ro; (s) Used terms: dentrykey(ino, str)