21 lines
708 B
Text
21 lines
708 B
Text
import logic
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open tactic inhabited
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inductive sum (A : Type) (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_destruct H (λ a, inhabited_mk (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_destruct H (λ b, inhabited_mk (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.num_inhabited
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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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