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Theorem Extension

⊦ 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 = 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

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Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas:
Used spec theorems:
- store/Extension
Used simplifier rules:
- lookup/lookup-def