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[helm.git] / helm / software / matita / contribs / formal_topology / overlap / categories.ma

diff --git a/helm/software/matita/contribs/formal_topology/overlap/categories.ma b/helm/software/matita/contribs/formal_topology/overlap/categories.ma
index 3a7614fca8b652e8668375d3bc1024bc6b3166a4..3ee3915074dd3db68941cbe032c9b4bcb8f3fa40 100644 (file)
--- a/helm/software/matita/contribs/formal_topology/overlap/categories.ma
+++ b/helm/software/matita/contribs/formal_topology/overlap/categories.ma
@@ -372,6 +372,12 @@ definition Type1_OF_SET1: Type_OF_category2 SET1 → Type1.
 qed.
 coercion Type1_OF_SET1.
 
+definition Type_OF_setoid1_of_carr: ∀U. carr U → Type_OF_setoid1 ?(*(setoid1_of_SET U)*).
+ [ apply setoid1_of_SET; apply U
+ | intros; apply c;]
+qed.
+coercion Type_OF_setoid1_of_carr.
+
 interpretation "SET dagger" 'prop1 h = (prop11_SET1 _ _ _ _ _ h).
 interpretation "unary morphism1" 'Imply a b = (arrows2 SET1 a b).
 interpretation "SET1 eq" 'eq x y = (eq_rel1 _ (eq'' _) x y).