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Theorem D-inj

⊦ mkdir(n0, md0, m0, m1, entries0) = mkdir(n1, md1, m2, m3, entries1) ↔ ¬(md0 ≠ md1 ∨ n0 ≠ n1 ∨ m0 ≠ m2 ∨ m1 ≠ m3 ∨ entries0 ≠ entries1)

Type: A user defined theorem
Validity: The proof is valid.
Features: lss,
Comment:
Used by: abs-dirs-del-data, abs-dirs-del-dentry, abs-dirs-del-dir, abs-dirs-del-file, abs-dirs-del-orphans, abs-dirs-deldatakeys-1, abs-dirs-deldatakeys-2, abs-dirs-drop, abs-dirs-gc-copy, abs-dirs-orphans, abs-dirs-trunc, abs-dirs-unused-adrs,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
Used spec theorems:
- Used simplifier rules:
  - abstract-dir/inj