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+title = "Proving if-conversion correct"
+date = "2022-06-08"
+author = "Yann Herklotz"
+tags = []
+categories = []
+backlinks = ["3c3h"]
+forwardlinks = ["3c3j", "3c3i1"]
+zettelid = "3c3i"
++++
+
+The main problem is that one has two duplicate versions of the block. At
+every point, one may be executing the copy, or the original body. The
+only thing that I care about in the end is that the **behaviour** is the
+same. The problem with that is that I need to be executing one or two
+steps in the input to do this. However, this can still be proven using
+just one step in the input by saving the intermediate proof state in
+when I need to execute two sets.