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Proof step 9 from proof eq-io-readdir (previous step)

⟨afs_readdir#(p_inode, dirs1, files1, asynced0; strings2, err)⟩ (strings2 = strings1 ∧ err = err0), asynced ↔ boolvar0, dirs = dirs1, files = files1, inode = p_inode, strings0 = strings2, pre-readdir(inode.ino, dirs, files) ⊦ ∃ strings. ⟨strings0 := strings; fail#(; ; err)⟩ (strings0 = strings1 ∧ err = err0), dom dirs[inode.ino].entries = strings1 ∧ ESUCCESS = err0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
⟨afs_readdir#(p_inode, dirs1, files1, asynced0; strings2, err)⟩ (strings2 = strings1 ∧ err = err0), p_inode.ino ∈ dirs1 ⊦ ∃ strings. ⟨strings2 := strings; fail#(; ; err)⟩ (strings2 = strings1 ∧ err = err0), dom dirs1[p_inode.ino].entries = strings1 ∧ ESUCCESS = err0

Rule argument

Additional information

Used simplifier rules: ⊦ valid-dir-ino(ino, dirs, files) ↔ ino ∈ dirs; (s)% ⊦ pre-readdir(ino, dirs, files) ↔ valid-dir-ino(ino, dirs, files); (s)