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Theorem at-del-ro-nodata

⊦ key ∈ ri ∧ key ≠ key0 ∧ ¬ key.data? → (ri ⊖ key0)[key] = ri[key]

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls, cut, localcut,
Comment:
Used by: del-commute-dels, del-del-again, del-merge-dels, del-this, notin-del,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas: datakeys, del-with-data,
Used spec theorems:
- Used simplifier rules:
  - store/node-index/Del-at
  - store+set/node-index/Diff-del-rw
  - store+set/node-index/Diff-get
  - store+set/node-index/Diff-mems-get