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Theorem ri-closed-variant1-01

⊦ ri-closed(ri, fs, ro) → ( ri-closed(ri0, fs0, ro0) ↔ (∀ key. (key ∈ ri → ri[key] ∈ fs ∧ node-closed(fs[ri[key]], ri, fs, ro)) → key ∈ ri0 → ri0[key] ∈ fs0 ∧ node-closed(fs0[ri0[key]], ri0, fs0, ro0)))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: ri-closed,
Used spec theorems:
- Used simplifier rules: