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Theorem ri-closed-drop

⊦ range ri ∩ as = ∅ ∧ ri-closed(ri, fs, ro) → ri-closed(ri, fs \ as, ro)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 17
Used lemmas: node-closed, ri-closed,
Used spec theorems:
- store+set/node-store/Diff-get
- set-basic/node-store/Extension
- store+set/node-index/Data-in
Used simplifier rules:
- aubifs-base/range-inter-empty-in
- store+set/node-store/Diff-ext
- set-basic/node-store/size-zero-01
- set-basic/node-store/ne-01
- store+set/node-store/Diff-mems-get
- set-basic/node-store/In-empty
- set-union/node-store/int-c
- set-union/node-store/int-a
- aubifs-base/range
- set-union/node-store/Intersect
- store/node-index/notmemlookup