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Theorem fids-put3

⊦ p ∈ tree ∧ tree[p] = dnode(md0, sdt) → tree[p, dnode(md1, sdt)].fids = tree.fids

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas: fids-fnode, fids-ins, fids-dnode,
Used spec theorems:
- store/directory-tree-inst/exin
- directory-tree/put-rec
Used simplifier rules:
- directory-tree/split-in
- list/path/c
- directory-tree/one-inf
- directory-tree/one-at
- directory-tree/at-dnode
- directory-tree/one-ind
- store/directory-tree-inst/insin
- directory-tree/nil-at
- list/path/app
- list/path/a
- directory-tree/put-here
- directory-tree/nil-in
- directory-tree/nil-put
- directory-tree-base/In-insert
- bag-union/fidbag/union-com
- bag-union/fidbag/union-ass
- bag-union/fidbag/union-inj
- store/directory-tree-inst/insins
- directory-tree-base/At-same