25 lines
531 B
Text
25 lines
531 B
Text
import logic
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using num tactic
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inductive inh (A : Type) : Type :=
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inh_intro : A -> inh A
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instance inh_intro
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theorem inh_bool [instance] : inh Prop
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:= inh_intro true
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theorem inh_fun [instance] {A B : Type} (H : inh B) : inh (A → B)
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:= inh_rec (λ b, inh_intro (λ a : A, b)) H
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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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theorem T2 : inh Prop
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