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Proof step 8 from proof eq-io-iget (previous step)

⟨afs_iget#(ino0, dirs1, files1, asynced0; inode, err)⟩ (inode = p_inode ∧ err = err0), asynced ↔ boolvar0, dirs = dirs1, files = files1, ino = ino0, pre-iget(ino, dirs, files) ⊦ ⟨fail#(; ; err)⟩ (inode = p_inode ∧ err = err0), getinode(ino, dirs, files) = p_inode ∧ ESUCCESS = err0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
⟨afs_iget#(ino0, dirs1, files1, asynced0; inode, err)⟩ (inode = p_inode ∧ err = err0), ino0 ∈ dirs1 ∨ ino0 ∈ files1 ⊦ ⟨fail#(; ; err)⟩ (inode = p_inode ∧ err = err0), (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 = err0

Rule argument

Additional information

Used simplifier rules: ⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)% ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)