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Theorem inos-write

⊦ ri[key, adr].inos = ri.inos ∪ (key.inode? ⊃ ∅ ++ key.ino;∅)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas: inos-node-store-def,
Used spec theorems:
- set-basic/nat-set/Extension
Used simplifier rules:
- set-union/nat-set/unin-01
- key/test-02
- key/sel-04
- set-basic/nat-set/in-04
- set-basic/nat-set/ne
- set-basic/nat-set/size-zero
- set-basic/nat-set/size-zero-01
- set-basic/nat-set/ne-01
- store/node-index/In-insert
- set-union/nat-set/une
- set-union/nat-set/una
- set-union/nat-set/unc
- set-union/nat-set/unadd
- set-basic/nat-set/In-insert
- key/inodekey-id