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diff --git a/tvix/eval/src/tests/tvix_tests/eval-okay-value-pointer-equality.nix b/tvix/eval/src/tests/tvix_tests/eval-okay-value-pointer-equality.nix
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+# For an explanation of this behavior see //tvix/docs/value-pointer-equality.md
+let
+  # Some incomparable values
+  f = MC: "Boing";
+  t = [ (throw "is a little blue man") ];
+  a = { "with" = abort "headphones and a big smile."; };
+
+  # Aliases
+  f' = f;
+  t' = t;
+  a' = a;
+
+  peq1 = a: b: [ a ] == [ b ];
+  peq2 = a: b: { x = a; } == { x = b; };
+in
+
+[
+  # pointer equality of functions
+  (peq1 f f)
+  (peq2 f f)
+  (peq1 f f')
+  (peq2 f f')
+
+  # encapsulation is necessary for pointer equality
+  (f == f)
+  (f == f')
+  # works with !=
+  ([ f ] != [ f' ])
+
+  # thunks that fail to evaluated wrapped in sets/lists
+  (peq1 t t)
+  (peq2 t t)
+  (peq1 a a)
+  (peq2 a a)
+  (peq1 t t')
+  (peq2 t t')
+  (peq1 a' a)
+  (peq2 a' a)
+
+  # function equality with builtins.elem
+  (builtins.elem f [ 21 f 42 ])
+
+  # pointer inequality
+  (peq1 f (x: x))
+  (peq2 (x: x) f)
+]