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Theorem Diff-mems-get

⊦ a ∈ s → (st \ s)[a] = (∅)[a]

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: 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: 1
Proof steps: 2
Used lemmas: Diff-ext,
Used spec theorems:
- store/notmemlookup
Used simplifier rules:
- set-basic/size-zero-01
- set-basic/ne-01