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Theorem ofh-fids-new

⊦ ¬ fd ∈ ofh → ofh[fd, fh].fids = ofh.fids ++ fh.fid

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 20
Used lemmas: ofh-fids,
Used spec theorems:
- set-basic/fidset/Extension
Used simplifier rules:
- set-basic/fidset/In-insert
- file-handle/elim
- store+set/open-file-handles/Diff-ext
- store/open-file-handles/k-At-same
- file-handle/inj
- store/open-file-handles/insin
- store/open-file-handles/At-same
- store/open-file-handles/At-in-out
- file-handle/sel-05
- store/open-file-handles/In-insert