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Theorem put-fnode

⊦ p ∈ tree → (tree[p, tree0] = fnode(fid) ↔ p = ε ∧ tree0 = fnode(fid))

Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by: dir-put, dir-put2,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: fnode-notin, put-here, put-rec, in-dnode, nil-in, nil-put,
Used spec theorems:
- Used simplifier rules:
  - directory-tree-base/fnode-inj
  - list/path/e-01
  - list/path/c
  - directory-tree-base/disj
  - list/path/app
  - list/path/a