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Theorem Subset

⊦ st1 ⊆ st2 ↔ (∀ a. a ∈ st1 → a ∈ st2 ∧ lookup(a, st1) = lookup(a, st2))

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment: |- st1 \subseteq st2 <-> (all a. a \in st1 -> a \in st2 and st1[a] = st2[a])
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas:
Used spec theorems:
- store/Subset
Used simplifier rules:
- lookup/lookup-def