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Theorem repalyone-monotonic

dom ri0 ⊆ dom ri1 ⊦ dom replay-one(adr, fs[adr], ri0) ⊆ dom replay-one(adr, fs[adr], ri1)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 20
Used lemmas: replay-trunc, replay-data, replay-dentry, replay-ino,
Used spec theorems:
- set-union/node-index/subdef
Used simplifier rules:
- store+set/node-index/Dom
- store+set/node-index/Diff-ext
- aubifs-base/datakeys-ge
- aubifs-base/datakeys
- aubifs-base/in-del-ro
- store/node-index/Del-in
- store/node-index/In-insert
- store/node-index/in-neq