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Theorem links1

⊦ links(fid, fnode(fid0)) = (fid = fid0 ⊃ {ε} ;∅)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: in-plinks,
Used spec theorems:
- set-basic/pathset/Extension
Used simplifier rules:
- set-union/pathset/One
- directory-tree/fnode-notin
- directory-tree/nil-at
- directory-tree-base/fnode-inj
- set-basic/pathset/in-04
- set-basic/pathset/ne-01
- set-basic/pathset/ne