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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inductive inh (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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2014-09-04 23:36:06 +00:00
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instance inh.intro
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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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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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definition assump := eassumption; now
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set_option elaborator.local_instances false
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tactic_hint [inh] assump
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tactic_hint assump
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theorem tst {A B : Type} (H : inh B) : inh (A → B → B)
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theorem T1 {A : Type} (a : A) : inh A
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2014-07-22 16:43:18 +00:00
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theorem T2 : inh Prop
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