15 lines
655 B
Text
15 lines
655 B
Text
-- Testing all possible cases of [unit_action]
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set_option blast.recursor false
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universes l1 l2
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variables {A B C : Prop}
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variables {X : Type.{l1}} {Y : Type.{l2}}
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variables {P : Y → Prop}
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-- Types as antecedents
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example (H : X → A) (x : X) : A := by blast
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example (H : X → A → B) (x : X) (nb : ¬ B) : ¬ A := by blast
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example (H : A → X → B → C) (x : X) (a : A) (nc : ¬ C) : ¬ B := by blast
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-- Universally quantified facts
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example (H : A → X → B → ∀ y : Y, P y) (x : X) (a : A) (nc : ¬ ∀ y : Y, P y) : ¬ B := by blast
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example (H : A → X → B → ¬ ∀ y : Y, P y) (x : X) (a : A) (nc : ∀ y : Y, P y) : ¬ B := by blast
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