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Theorem eq-io-lookup

⟨afs_lookup#(p_ino, dirs, files, asynced; dent, err)⟩ ((p_ino = pageno ∧ dent = old_dent ∧ err = err0) ∧ dirs = dirs0 ∧ files = files0 ∧ (asynced ↔ boolvar)), dirs = dirs1, files = files1 ⊦ ⟨afs_lookup#(p_ino, dirs1, files1, boolvar0; dent, err)⟩ ((p_ino = pageno ∧ dent = old_dent ∧ err = err0) ∧ dirs1 = dirs0 ∧ files1 = files0)

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 37
Used lemmas:
Used spec theorems:
- Used simplifier rules: