2014-08-25 02:58:48 +00:00
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import logic
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2014-09-04 23:36:06 +00:00
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open tactic
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2014-07-14 01:53:02 +00:00
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2014-10-08 01:02:15 +00:00
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inductive inh [class] (A : Type) : Type :=
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2014-09-04 23:36:06 +00:00
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intro : A -> inh A
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2014-07-14 01:53:02 +00:00
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2014-07-22 16:43:18 +00:00
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theorem inh_bool [instance] : inh Prop
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2014-09-04 23:36:06 +00:00
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:= inh.intro true
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2014-07-14 01:53:02 +00:00
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2014-11-09 19:47:01 +00:00
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set_option elaborator.trace_instances true
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2014-07-14 01:53:02 +00:00
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theorem inh_fun [instance] {A B : Type} (H : inh B) : inh (A → B)
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2014-09-04 23:36:06 +00:00
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:= inh.rec (λ b, inh.intro (λ a : A, b)) H
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2014-07-14 01:53:02 +00:00
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theorem tst {A B : Type} (H : inh B) : inh (A → B → B)
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2014-09-26 02:46:08 +00:00
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theorem T1 {A : Type} (a : A) : inh A :=
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by repeat [apply @inh.intro | eassumption]
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2014-07-14 01:53:02 +00:00
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2014-07-22 16:43:18 +00:00
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theorem T2 : inh Prop
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