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+title = "Using equations to prove copy propagation"
+author = "Yann Herklotz"
+tags = []
+categories = []
+backlinks = ["3a8e"]
+forwardlinks = ["3a8e2"]
+zettelid = "3a8e1"
++++
+
+Copy propagation is when a direct assignment is propagated. This can be
+proven using the equations Lemma directly, because at each point the
+replacement can easily be justified by the argument that `rs#y = rs#x`
+at the current point when `y` is being used instead of `x`.