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+title = "Comparing symbolic evaluations with conditionals"
+author = "Yann Herklotz"
+tags = []
+categories = []
+backlinks = ["3c3", "3a7", "2e1c"]
+forwardlinks = ["2e1c2", "2e1c1a"]
+zettelid = "2e1c1"
++++
+
+``` c
+if (P) { x = 1; }
+else if (Q) { x = 2; }
+else if (R) { x = 3; }
+else { x = 4; }
+```
+
+is equivalent to the following if $P \land Q$ is *unsatisfiable*:
+
+``` c
+if (Q) { x = 2; }
+else if (P) { x = 1; }
+else if (R) { x = 3; }
+else { x = 4; }
+```
+
+If $Q \land R$ is *satisfiable*, then these can never change in order,
+however, if $P \land R$ is *unsatisfiable*, then it would also be
+equivalent to the following:
+
+``` c
+if (Q) { x = 2; }
+else if (R) { x = 3; }
+else if (P) { x = 1; }
+else { x = 4; }
+```