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Theorem abs-dirs-unused-adrs

⊦ range ri ∩ as = ∅ → abs-dirs(fs \ as, ri) = abs-dirs(fs, ri)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 12
Used lemmas: at-children, in-children, C-ext, D-inj, dir, at-dirs, in-dirs, D-ext,
Used spec theorems:
- set-basic/node-store/Extension
- store+set/node-index/Data-in
Used simplifier rules:
- set-basic/node-store/size-zero-01
- set-basic/node-store/ne-01
- set-basic/node-store/In-empty
- aubifs-base/range
- set-union/node-store/Intersect
- store/node-index/notmemlookup
- store+set/node-store/Diff-get
- store+set/node-store/Diff-mems-get
- set-union/node-store/int-a
- set-union/node-store/int-c
- aubifs-base/range-inter-empty-in