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Proof step 7 from proof eq-io-evict (previous step)

⟨afs_evict#(p_inode, asynced0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0), asynced ↔ boolvar0, dirs = dirs1, files = files1, ino = inode.ino, inode = p_inode, pre-evict(inode, dirs, files) ⊦ ⟨if ino ∈ dirs then if dirs[ino].nlink = 0 then dirs := dirs -- ino else if files[ino].nlink = 0 then files := files -- ino⟩ (ESUCCESS = err0 ∧ dirs = dirs0 ∧ files = files0)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Proof step 8:
⟨afs_evict#(p_inode, asynced0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0), asynced ↔ boolvar0, dirs = dirs1, files = files1, ino = inode.ino, inode = p_inode, pre-evict(inode, dirs, files), ino ∈ dirs ⊦ ⟨if dirs[ino].nlink = 0 then dirs := dirs -- ino⟩ (ESUCCESS = err0 ∧ dirs = dirs0 ∧ files = files0)
Proof step 49:
⟨afs_evict#(p_inode, asynced0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0), asynced ↔ boolvar0, dirs = dirs1, files = files1, ino = inode.ino, inode = p_inode, pre-evict(inode, dirs, files) ⊦ ⟨if files[ino].nlink = 0 then files := files -- ino⟩ (ESUCCESS = err0 ∧ dirs = dirs0 ∧ files = files0), ino ∈ dirs

Proof step 7 from proof eq-io-evict (previous step)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

Additional information