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Theorem abs-is-dnode

⊦ tree.dir? → abs(tree, ino) = _∃(λ ad. ino => ad * abs(tree.entries, ad.entries) ∧ ⌜ad.meta = tree.meta⌝ ∧ ⌜ad.size = # ad.entries⌝ )

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: abs-paths-eq, abs-unshared-h,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: abs-dnode,
Used spec theorems:
- Used simplifier rules:
  - heap-sep/dir-heap/and-ass
  - heap-sep/dir-heap/and-com
  - directory-tree/dnode-elim