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structure definition def or abbrev

NonCollapseCondition

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formal statement (Lean)

 100structure NonCollapseCondition (sys : DirectedRefinement C) : Prop where
 101  nontrivial_at_all_stages : ∀ i : ℕ,
 102    ∃ c₁ c₂ : C, ¬Indistinguishable (sys.recognizer i) c₁ c₂
 103  monotone_separation : ∀ i : ℕ, ∀ c₁ c₂ : C,
 104    ¬Indistinguishable (sys.recognizer i) c₁ c₂ →
 105    ¬Indistinguishable (sys.recognizer (i + 1)) c₁ c₂
 106
 107/-- Monotone separation follows from refinement. -/

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