diff --git a/hardy/ct_primitives.nim b/hardy/ct_primitives.nim
index 6764b54..c27cac0 100644
--- a/hardy/ct_primitives.nim
+++ b/hardy/ct_primitives.nim
@@ -56,6 +56,17 @@ func `-`*(x: HardBase): HardBase {.inline.}=
   ## of an unsigned integer
   {.emit:"`result` = -`x`;".}
 
+# ############################################################
+#
+#                           Bit hacks
+#
+# ############################################################
+
+func isMsbSet*[T: HardBase](x: T): HardBool[T] {.inline.} =
+  ## Returns the most significant bit of an integer
+  const msb_pos = T.sizeof * 8 - 1
+  result = (HardBool[T])(x shr msb_pos)
+
 # ############################################################
 #
 #             Hardened Boolean primitives
@@ -77,37 +88,36 @@ func select*[T: HardBase](ctl: HardBool[T], x, y: T): T {.inline.}=
   # is optimized into a branch by Clang :/
   y xor (-ctl.T and (x xor y))
 
-func `!=`*[T: HardBase](x, y: T): HardBool[T] {.inline.}=
+func noteq[T: HardBase](x, y: T): HardBool[T] {.inline.}=
   const msb = T.sizeof * 8 - 1
   let z = x xor y
   result = (type result)((z or -z) shr msb)
 
 func `==`*[T: HardBase](x, y: T): HardBool[T] {.inline.}=
-  not(x != y)
+  not(noteq(x, y))
 
 func `<`*[T: HardBase](x, y: T): HardBool[T] {.inline.}=
-  const msb = T.sizeof * 8 - 1
-  result = (type result)(
-    (
+  result = isMsbSet(
       x xor (
         (x xor y) or ((x - y) xor y)
       )
-    ) shr msb
-  )
+    )
 
 func `<=`*[T: HardBase](x, y: T): HardBool[T] {.inline.}=
   (y < x) xor 1
 
 # ############################################################
 #
-#                           Bit hacks
+#         Workaround system.nim `!=` template
 #
 # ############################################################
 
-func isMsbSet*[T: HardBase](x: T): HardBool[T] {.inline.} =
-  ## Returns the most significant bit of an integer
-  const msb_pos = T.sizeof * 8 - 1
-  result = (HardBool[T])(x shr msb_pos)
+# system.nim defines `!=` as a catchall template
+# in terms of `==` while we define `==` in terms of `!=`
+# So we would have not(not(noteq(x,y)))
+
+template trmFixSystemNotEq*{x != y}[T: HardBase](x, y: T): HardBool[T] =
+  noteq(x, y)
 
 # ############################################################
 #
diff --git a/hardy/datatypes.nim b/hardy/datatypes.nim
index 6ddeedf..ee947bb 100644
--- a/hardy/datatypes.nim
+++ b/hardy/datatypes.nim
@@ -24,10 +24,10 @@ type
     ## Note that constant-time allocation is very involved for
     ## heap-allocated types (i.e. requires a memory pool)
 
-func htrue*(T: type(BaseUint)): auto {.compileTime.}=
+func htrue*(T: type(BaseUint)): auto {.inline.}=
   (HardBool[HardBase[T]])(true)
 
-func hfalse*(T: type(BaseUint)): auto {.compileTime.}=
+func hfalse*(T: type(BaseUint)): auto {.inline.}=
   (HardBool[HardBase[T]])(false)
 
 func hard*[T: BaseUint](x: T): HardBase[T] {.inline.}=
diff --git a/tests/all_tests.nim b/tests/all_tests.nim
index bff9359..d361491 100644
--- a/tests/all_tests.nim
+++ b/tests/all_tests.nim
@@ -132,3 +132,37 @@ suite "Hardened unsigned integers":
       undistinct(-y1.hard) == undistinct(not(y1.hard) + hard(1'u64))
       undistinct(-y2.hard) == undistinct(not(y2.hard) + hard(1'u64))
       undistinct(-y3.hard) == undistinct(not(y3.hard) + hard(1'u64))
+
+suite "Hardened booleans":
+  test "Boolean not":
+    check:
+      not(htrue(uint32)).bool == false
+      not(hfalse(uint32)).bool == true
+
+  test "Comparison":
+    check:
+      bool(hard(0'u32) != hard(0'u32)) == false
+      bool(hard(0'u32) != hard(1'u32)) == true
+
+      bool(hard(10'u32) == hard(10'u32)) == true
+      bool(hard(10'u32) != hard(20'u32)) == true
+
+      bool(hard(10'u32) <= hard(10'u32)) == true
+      bool(hard(10'u32) <= hard(20'u32)) == true
+      bool(hard(10'u32) <= hard(5'u32)) == false
+      bool(hard(10'u32) <= hard(0xFFFFFFFF'u32)) == true
+
+      bool(hard(10'u32) < hard(10'u32)) == false
+      bool(hard(10'u32) < hard(20'u32)) == true
+      bool(hard(10'u32) < hard(5'u32)) == false
+      bool(hard(10'u32) < hard(0xFFFFFFFF'u32)) == true
+
+      bool(hard(10'u32) > hard(10'u32)) == false
+      bool(hard(10'u32) > hard(20'u32)) == false
+      bool(hard(10'u32) > hard(5'u32)) == true
+      bool(hard(10'u32) > hard(0xFFFFFFFF'u32)) == false
+
+      bool(hard(10'u32) >= hard(10'u32)) == true
+      bool(hard(10'u32) >= hard(20'u32)) == false
+      bool(hard(10'u32) >= hard(5'u32)) == true
+      bool(hard(10'u32) >= hard(0xFFFFFFFF'u32)) == false