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Theorem in-05

⊦ s ++ a = s0 ++ b ∧ a ≠ b → a ∈ s0

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by: eq-02, eqtwo,
Used by units in proved state: set-union,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: rax, Extension,
Used spec theorems:
- Used simplifier rules: