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Theorem legal-nxt-1

⊦ legal(H) ∧ r ∈ H ∧ H[r] .nxt ≠ null → (¬ H[r] .nxt ∈ H ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: legal-noncylic-equiv-reaches-null, legal-nxt-2, reach-n-next-legal,
Used by units in proved state: challenge4,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: legal-def,
Used spec theorems:
- Used simplifier rules: