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Theorem range-inter-empty-in

⊦ key ∈ ri ∧ as ∩ range ri = ∅ → ¬ ri[key] ∈ as

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas: range,
Used spec theorems:
- set-basic/node-store/Extension
Used simplifier rules:
- set-basic/node-store/size-zero-01
- set-basic/node-store/ne-01
- set-basic/node-store/In-empty
- set-union/node-store/Intersect
- store+set/node-index/In-data-in
- set-union/node-store/int-a
- set-union/node-store/int-c