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Theorem ubifs-log-nodups-add4

⊦ ubifs-cons(fs, ri, ro, fi, fo, log) ∧ ¬ adr0 ∈ fs ∧ ¬ adr1 ∈ fs ∧ ¬ adr2 ∈ fs ∧ ¬ adr3 ∈ fs ∧ adr0 ≠ adr1 ∧ adr0 ≠ adr2 ∧ adr1 ≠ adr2 ∧ adr0 ≠ adr3 ∧ adr1 ≠ adr3 ∧ adr2 ≠ adr3 → ¬ dups(log + adr0 ' + adr1 ' + adr2 ' + adr3 ')

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 19
Used lemmas: log-cons, ri-closed, ri-cons, ubifs-cons,
Used spec theorems:
- list-dup/address-list-set/l-03
Used simplifier rules:
- list/address-list-set/in-01
- list-dup/address-list-set/n
- list/address-list-set/in-17
- list/address-list-set/in-append
- list/address-list-set/a
- list-dup/address-list-set/f