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Proof step 18 from proof eq-io-evict (previous step)

⟨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(m3, md0, m4, content), dirs1[m] = mkdir(m5, md1, 0, m7, entries), dirs = dirs1, files = files1, inode = mkinode(m, md, boolvar, m0, m1, m2), m ∈ dirs1, m0 = 0 ∧ m2 = m5 ∧ m1 = m7 ∧ boolvar ∨ m ∈ files1 ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar ⊦ m = ROOT_INO, ESUCCESS = err0 ∧ dirs1 -- m = dirs0 ∧ files1 = files0

Heuristic conditional left split applied rule if left

And obtained the following new goals

Rule argument

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