+++ 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`.