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Theorem read-notin

⊦ ¬ str ∈ sdt → sdt[str] = (∅)[str]

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: Del-empty, Del-rec-other, Del-rec-same,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas:
Used spec theorems:
- Used simplifier rules:
  - directory-tree-base/At-other
  - directory-tree-base/In-insert