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Theorem two

⊦ a ≠ a0 → (∅ ++ a ++ b = ∅ ++ a0 ++ c ↔ a = c ∧ b = a0)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: eqtwo-01,
Used by units in proved state: oset,
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 4
Used lemmas: eq-04, in-04, rax, Extension,
Used spec theorems:
- Used simplifier rules: