diff options
Diffstat (limited to 'test-suite/failure/universes-buraliforti-redef.v')
| -rw-r--r-- | test-suite/failure/universes-buraliforti-redef.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/test-suite/failure/universes-buraliforti-redef.v b/test-suite/failure/universes-buraliforti-redef.v index 049f97f2..034b7f09 100644 --- a/test-suite/failure/universes-buraliforti-redef.v +++ b/test-suite/failure/universes-buraliforti-redef.v @@ -64,7 +64,7 @@ End Inverse_Image. Section Burali_Forti_Paradox. - Definition morphism (A : Type) (R : A -> A -> Prop) + Definition morphism (A : Type) (R : A -> A -> Prop) (B : Type) (S : B -> B -> Prop) (f : A -> B) := forall x y : A, R x y -> S (f x) (f y). @@ -72,7 +72,7 @@ Section Burali_Forti_Paradox. assumes there exists an universal system of notations, i.e: - A type A0 - An injection i0 from relations on any type into A0 - - The proof that i0 is injective modulo morphism + - The proof that i0 is injective modulo morphism *) Variable A0 : Type. (* Type_i *) Variable i0 : forall X : Type, (X -> X -> Prop) -> A0. (* X: Type_j *) @@ -85,7 +85,7 @@ Section Burali_Forti_Paradox. (* Embedding of x in y: x and y are images of 2 well founded relations R1 and R2, the ordinal of R2 being strictly greater than that of R1. *) - Record emb (x y : A0) : Prop := + Record emb (x y : A0) : Prop := {X1 : Type; R1 : X1 -> X1 -> Prop; eqx : x = i0 X1 R1; @@ -168,7 +168,7 @@ Defined. End Subsets. - Definition fsub (a b : A0) (H : emb a b) (x : sub a) : + Definition fsub (a b : A0) (H : emb a b) (x : sub a) : sub b := Build_sub _ (witness _ x) (emb_trans _ _ _ (emb_wit _ x) H). (* F is a morphism: a < b => F(a) < F(b) |