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Theorem ri-cons-variant1-01

⊦ ri-cons(ri, fs) → (ri-cons(ri0, fs0) ↔ (∀ key. (key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]])) → key ∈ ri0 → ri0[key] ∈ fs0 ∧ key-cons(key, fs0[ri0[key]])))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: ri-key-cons, ri-cons-in, ri-cons,
Used spec theorems:
- Used simplifier rules: