24 lines
793 B
Text
24 lines
793 B
Text
import logic
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using 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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infixl `..`:100 := append
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definition my_tac := repeat (trace "iteration"; state;
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( apply @inl_inhabited; trace "used inl"
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.. apply @inr_inhabited; trace "used inr"
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.. apply @num.num_inhabited; trace "used num")) ; now
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tactic_hint [inhabited] my_tac
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theorem T : inhabited (sum false num.num)
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