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Theorem Diff-get

⊦ ¬ a ∈ s → (st \ s)[a] = st[a]

Type: A user defined theorem
Validity: The proof is valid.
Features: cut, simp, localsimp,
Comment:
Used by: Diff-Diff-com, Diff-del-rw, diff-get-add, rem-write, rem-write-other, restrict-at, restrict-intersect-empty,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 4
Used lemmas: Diff-rec, Diff-base,
Used spec theorems:
- store/Del-at
Used simplifier rules: