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Theorem entries-fold-p

⊦ ¬ str ∈ sdt ∧ ¬ str ∈ sdi ∧ ((abs(tree, ino) * abs(sdt, sdi) * D))(dirs) → ((abs(sdt[str, tree], sdi[str, ino]) * D))(dirs)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: entries-del, abs-rec,
Used spec theorems:
- Used simplifier rules:
  - heap-sep/dir-heap/and-com
  - heap-sep/dir-heap/and-ass
  - heap-sep/dir-heap/true-and
  - heap-sep/dir-heap/sep-com
  - heap-sep/dir-heap/sep-ass
  - store/dir-entries/Del-rec-same
  - store/dir-entries/At-same
  - heap-sep/dir-heap/true-rev
  - store/dir-entries/insin