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author | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:43:16 +0100 |
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committer | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:43:16 +0100 |
commit | f219abfed720305c13875c3c63f9240cf63f78bc (patch) | |
tree | 69d2c026916128fdb50b8d1c0dbf1be451340d30 /test-suite/bugs/closed/HoTT_coq_063.v | |
parent | 476d60ef0fe0ac015c1e902204cdd7029e10ef0f (diff) | |
parent | cec4741afacd2e80894232850eaf9f9c0e45d6d7 (diff) |
Merge tag 'upstream/8.5_beta1+dfsg'
Upstream version 8.5~beta1+dfsg
Diffstat (limited to 'test-suite/bugs/closed/HoTT_coq_063.v')
-rw-r--r-- | test-suite/bugs/closed/HoTT_coq_063.v | 34 |
1 files changed, 34 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/HoTT_coq_063.v b/test-suite/bugs/closed/HoTT_coq_063.v new file mode 100644 index 00000000..777f6483 --- /dev/null +++ b/test-suite/bugs/closed/HoTT_coq_063.v @@ -0,0 +1,34 @@ +Set Universe Polymorphism. +Module A. + Inductive paths A (x : A) : A -> Type := idpath : paths A x x. + + Notation "x = y" := (paths _ x y). + + Inductive IsTrunc : nat -> Type -> Type := + | BuildContr : forall A (center : A) (contr : forall y, center = y), IsTrunc 0 A + | trunc_S : forall A n, (forall x y : A, IsTrunc n (x = y)) -> IsTrunc (S n) A. + + Existing Class IsTrunc. + + + Instance is_trunc_unit : IsTrunc 0 unit. + Proof. apply BuildContr with (center:=tt). now intros []. Defined. + + Check (_ : IsTrunc 0 unit). +End A. + +Module B. + Fixpoint IsTrunc (n : nat) (A : Type) : Type := + match n with + | O => True + | S _ => False + end. + + Existing Class IsTrunc. + + Instance is_trunc_unit : IsTrunc 0 unit. + Proof. exact I. Defined. + + Check (_ : IsTrunc 0 unit). + Fail Definition foo := (_ : IsTrunc 1 unit). +End B. |