22 lines
695 B
Text
22 lines
695 B
Text
import standard
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using tactic
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inductive sum (A B : Type) : Type :=
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| inl : A → sum A B
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| inr : B → sum A B
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theorem inl_inhabited {A : Type} (B : Type) (H : inhabited A) : inhabited (sum A B)
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:= inhabited_elim H (λ a, inhabited_intro (inl B a))
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theorem inr_inhabited (A : Type) {B : Type} (H : inhabited B) : inhabited (sum A B)
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:= inhabited_elim H (λ b, inhabited_intro (inr A b))
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definition my_tac := fixpoint (λ t, [ apply @inl_inhabited; t
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| apply @inr_inhabited; t
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| apply @num.inhabited_num
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])
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tactic_hint [inhabited] my_tac
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theorem T : inhabited (sum false num.num)
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