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Proof step 3 from proof eq-io-evict (previous step)

⟨afs_evict#(p_inode, asynced; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0) ⊦ ⟨afs_evict#(p_inode, boolvar0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 4:
⟨afs_evict#(p_inode, asynced0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0), asynced ↔ boolvar0, dirs = dirs1, files = files1, inode = p_inode ⊦ ⟨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)

Rule argument

pos: right 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 };