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Theorem orphans-cons-gc-one

⊦ key ∈ ri ∧ ¬ adr ∈ fs ∧ orphans-cons(fs, ri, ro) ∧ ri-cons(ri, fs) → orphans-cons(fs[adr, fs[ri[key]]], ri[key, adr], ro)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: replay-log-gc-copy, replay-safe-gc-copy,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 14
Used lemmas: orphans-cons,
Used spec theorems:
- Used simplifier rules:
  - store/node-store/k-At-same
  - aubifs-inv/ri-cons-in
  - store/node-index/insin
  - store/node-store/At-other
  - store/node-index/At-same
  - store/node-index/in-neq
  - store/node-index/At-other