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Theorem file-node-cons-variant1-01

⊦ file-node-cons(fs, ri) → ( file-node-cons(fs0, ri0) ↔ (∀ ino. (inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory → fs[ri[inodekey(ino)]].nsubdirs = 0) → inodekey(ino) ∈ ri0 ∧ ¬ fs0[ri0[inodekey(ino)]].directory → fs0[ri0[inodekey(ino)]].nsubdirs = 0))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: file-node-cons,
Used spec theorems:
- Used simplifier rules: