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Proof step 56 from proof eq-io-evict (previous step)

⟨afs_evict#(mkinode(m, md, false, 0, 0, m2), asynced0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0), files1[m] = mkfile(m0, md0, 0, content), m ≠ ROOT_INO, m ∈ files1, ¬ m ∈ dirs1 ⊦ ESUCCESS = err0 ∧ dirs1 = dirs0 ∧ files1 -- m = files0

Heuristic unfold applied rule call left

And obtained the following new goals

Proof step 57:
⟨if pre-evict(inode, dirs, files) then {err := ESUCCESS; let ino = inode.ino in if ino ∈ dirs then if dirs[ino].nlink = 0 then dirs := dirs -- ino else if files[ino].nlink = 0 then files := files -- ino} else abort⟩ (err = err0 ∧ dirs = dirs0 ∧ files = files0), asynced ↔ asynced0, files1[m] = mkfile(m0, md0, 0, content), dirs = dirs1, files = files1, inode = mkinode(m, md, false, 0, 0, m2), m ∈ files1 ⊦ m = ROOT_INO, m ∈ dirs1, ESUCCESS = err0 ∧ dirs1 = dirs0 ∧ files1 -- m = files0

Rule argument

pos: left 1

Additional information

Used simplifier rules: afs_evict#(INODE, ASYNCED; ERR, DIRS, FILES) {if pre-evict(INODE, DIRS, FILES) then {ERR := ESUCCESS; let INO = INODE.ino in if INO ∈ DIRS then if DIRS[INO].nlink = 0 then DIRS := DIRS -- INO else if FILES[INO].nlink = 0 then FILES := FILES -- INO} else abort };