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Theorem replay-nonorphans-trunc
⊦ ¬ key ∈ ro → (ri ⊖ ro) \ datakeys(key, n, ri) = (ri \ datakeys(key, n, ri)) ⊖ ro
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
aubifs-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 10
Proof steps: 23
Used lemmas:
Used spec theorems:
store
/node-index/
k-Extension
aubifs-base
/
at-dels-ro-nodata
aubifs-base
/
at-dels-ro-data
store+set
/node-index/
Diff-get
store+set
/node-index/
Diff-ext
aubifs-base
/
in-dels-ro
Used simplifier rules:
aubifs-base
/
in-dels-ro
key
/
elim-02
aubifs-base
/
at-dels-ro-data
key
/
sel-05
key
/
sel-03
key
/
test-09
aubifs-base
/
at-dels-ro-nodata
store+set
/node-index/
Diff-get
store+set
/node-index/
Diff-mems-get
store+set
/node-index/
Diff-ext
aubifs-base
/
datakeys-ge
aubifs-base
/
datakeys