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-rw-r--r--scratch.thy6
1 files changed, 6 insertions, 0 deletions
diff --git a/scratch.thy b/scratch.thy
index e06fb7e..3141120 100644
--- a/scratch.thy
+++ b/scratch.thy
@@ -3,6 +3,12 @@ theory scratch
begin
+
+lemma "U(O): U(O)"
+proof (rule inhabited_implies_type)
+ show "\<nat>: U(O)" ..
+qed
+
lemma
assumes "\<Sum>x:A. B(x): U(i)" "(a,b): \<Sum>x:A. B(x)"
shows "a : A"