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Theorem in-ri

⊦ key0 ∈ ri[key1, adr] ↔ key0 = key1 ∨ key0 ∈ ri

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by: inv-create, inv-format, inv-link, inv-mkdir, inv-rename-new-keep-parent, inv-rename-new-reparent, inv-rename-overwrite-keep-parent, inv-rename-overwrite-reparent, inv-rmdir, inv-truncate, inv-unlink, inv-write-inode, inv-writepage,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
Used spec theorems:
- Used simplifier rules:
  - store/node-index/In-insert
  - store/node-index/in-neq