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Theorem abs-fold-new

abs(tree0, ino1) = emp ⊦ ¬ str ∈ entries ∧ p ∈ tree ∧ tree[p] = dnode(md, sdt) ∧ ((abs|(tree, ROOT_INO, p, ino0) * ino0 => mkdir(# entries + 1, md, m0, m1, entries[str, ino1]) * abs(sdt, entries)))(dirs) → abs(tree[p + str ', tree0], ROOT_INO)(dirs)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: abs-fold-new-p,
Used spec theorems:
- Used simplifier rules:
  - heap-sep/dir-heap/emp-sep
  - heap-sep/dir-heap/sep-ass
  - heap-sep/dir-heap/sep-com
  - heap-sep/dir-heap/Imp-refl