test(tests/lean/run): add more universe tests

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
This commit is contained in:
Leonardo de Moura 2014-07-10 14:43:55 +01:00
parent 49bc3fffbd
commit 06beff327f
2 changed files with 52 additions and 0 deletions

40
tests/lean/run/coe5.lean Normal file
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import standard
namespace setoid
inductive setoid : Type :=
| mk_setoid: Π (A : Type'), (A → A → Bool) → setoid
set_option pp.universes true
check setoid
definition test : Type.{2} := setoid.{0}
definition carrier (s : setoid)
:= setoid_rec (λ a eq, a) s
definition eqv {s : setoid} : carrier s → carrier s → Bool
:= setoid_rec (λ a eqv, eqv) s
infix `≈`:50 := eqv
coercion carrier
inductive morphism (s1 s2 : setoid) : Type :=
| mk_morphism : Π (f : s1 → s2), (∀ x y, x ≈ y → f x ≈ f y) → morphism s1 s2
check mk_morphism
check λ (s1 s2 : setoid), s1
check λ (s1 s2 : Type), s1
inductive morphism2 (s1 : setoid) (s2 : setoid) : Type :=
| mk_morphism2 : Π (f : s1 → s2), (∀ x y, x ≈ y → f x ≈ f y) → morphism2 s1 s2
check morphism2
check mk_morphism2
inductive my_struct : Type :=
| mk_foo : Π (s1 s2 : setoid) (s3 s4 : setoid), morphism2 s1 s2 → morphism2 s3 s4 → my_struct
check my_struct
definition tst2 : Type.{4} := my_struct.{1 2}
end

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tests/lean/run/id.lean Normal file
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import standard
definition id {A : Type} (a : A) := a
check id id
set_option pp.universes true
check id id
check id Bool
check id num.num
check @id.{0}
check @id.{1}
check id num.zero
check @eq
check eq eq