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Proof step 26 from proof inv-format (previous step)

⊦ ⟪pcache_format#(; ; pcache, err)⟫ ( err = ESUCCESS → icache-cons(∅, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)], ∅) ∧ dcache-cons(∅, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)], ∅) ∧ pcache-cons(pcache, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)], ∅) ∧ synced((∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)], ∅, pcache) ∧ (asynced1 → synced(∅, ∅, pcache)))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 27:
⊦ ⟪pcache := ∅; err := ESUCCESS⟫ ( err = ESUCCESS → icache-cons(∅, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)], ∅) ∧ dcache-cons(∅, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)], ∅) ∧ pcache-cons(pcache, (∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)], ∅) ∧ synced((∅ ++ ROOT_INO)[ROOT_INO, mkdir(0, md, 0, 0, ∅)], ∅, pcache) ∧ (asynced1 → synced(∅, ∅, pcache)))

Rule argument

pos: right 1

Additional information

Used simplifier rules: pcache_format#(; ; PCACHE, ERR){PCACHE := ∅; ERR := ESUCCESS};