| ⟨if pre-iget(ino, dirs, files) then {{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)} else abort⟩ (inode = p_inode ∧ err = err1), asynced ↔ asynced0, dirs = dirs1, files = files1, ino = ino0, ino0 ∈ dirs1 ∨ ino0 ∈ files1 ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (inode = p_inode ∧ err = err1), (ino0 ∈ dirs1 ⊃ mkinode(ino0, dirs1[ino0].meta, true, dirs1[ino0].nlink, dirs1[ino0].nsubdirs, dirs1[ino0].size) ;mkinode(ino0, files1[ino0].meta, false, files1[ino0].nlink, 0, files1[ino0].size) ) = p_inode ∧ ESUCCESS = err1 |
⟨{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)⟩ (inode = p_inode ∧ err = err1), asynced ↔ asynced0, dirs = dirs1, files = files1, ino = ino0, ino0 ∈ dirs1 ∨ ino0 ∈ files1 ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (inode = p_inode ∧ err = err1), (ino0 ∈ dirs1 ⊃ mkinode(ino0, dirs1[ino0].meta, true, dirs1[ino0].nlink, dirs1[ino0].nsubdirs, dirs1[ino0].size) ;mkinode(ino0, files1[ino0].meta, false, files1[ino0].nlink, 0, files1[ino0].size) ) = p_inode ∧ ESUCCESS = err1
Used simplifier rules: ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)