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Theorem orphans-cons-reduce

⊦ orphans-cons(fs, ri, ro) → ( orphans-cons(fs0, ri0, ro0) ↔ (∀ ino. (inodekey(ino) ∈ ri → (fs[ri[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro)) → inodekey(ino) ∈ ri0 → (fs0[ri0[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro0)))

Type: A user defined theorem
Validity: The proof is valid.
Features: lss, ss,
Comment: Generated lemma variant 1 for lemma: orphans-cons
Used by:
Used by units in proved state: aubifs-refine, aubifs-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: orphans-cons,
Used spec theorems:
- Used simplifier rules: