40 lines
924 B
Text
40 lines
924 B
Text
import data.nat data.examples.vector data.list.basic
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attribute nat [recursor]
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attribute nat.rec [recursor]
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attribute nat.rec_on [recursor]
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attribute nat.strong_induction_on [recursor]
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attribute nat.cases_on [recursor]
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attribute vector.cases_on [recursor]
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attribute vector.brec_on [recursor]
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axiom badrec1 : Π (A : Type) (C : A → Type) (a : A) (l : list A), C a
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attribute badrec1 [recursor]
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axiom badrec2 : Π (A : Type) (M : list A → Type) (l : list A) (a : nat), M l
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attribute badrec2 [recursor]
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open list
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axiom myrec : Π (A : Type) (M : list A → Type) (l : list A), M [] → (∀ a, M [a]) → (∀ a₁ a₂, M [a₁, a₂]) → M l
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attribute myrec [recursor]
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set_option pp.implicit true
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set_option pp.universes true
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check @myrec
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print [recursor] myrec
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print [recursor] nat.induction_on
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check @vector.induction_on
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print [recursor] vector.induction_on
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check @Exists.rec
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print [recursor] Exists.rec
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