diff --git a/core/Math/hsGeometry3.h b/core/Math/hsGeometry3.h
index b025b76b..6524f2db 100644
--- a/core/Math/hsGeometry3.h
+++ b/core/Math/hsGeometry3.h
@@ -47,10 +47,7 @@ struct HSPLASMA_EXPORT hsVector3
     }
 
     /** Returns true if the values of the vectors are non-identical */
-    bool operator!=(const hsVector3& other) const
-    {
-        return (X != other.X) || (Y != other.Y) || (Z != other.Z);
-    }
+    bool operator!=(const hsVector3& other) const { return !operator==(other); }
 
     /** Reads the vector from a stream */
     void read(hsStream* S);
diff --git a/core/Math/hsMatrix44.h b/core/Math/hsMatrix44.h
index ac09b8f6..7b04c5f1 100644
--- a/core/Math/hsMatrix44.h
+++ b/core/Math/hsMatrix44.h
@@ -45,6 +45,7 @@ struct HSPLASMA_EXPORT hsMatrix44
     float operator()(int y, int x) const { return data[y+(x*4)]; }
     float& operator()(int y, int x) { return data[y+(x*4)]; }
     bool operator==(const hsMatrix44& other) const;
+    bool operator!=(const hsMatrix44& other) const { return !operator==(other); }
     const float* glMatrix() const { return data; }
 
     hsMatrix44 operator*(const hsMatrix44& right) const;
diff --git a/core/Math/hsQuat.h b/core/Math/hsQuat.h
index 8f3579fe..bef03de3 100644
--- a/core/Math/hsQuat.h
+++ b/core/Math/hsQuat.h
@@ -34,10 +34,7 @@ struct HSPLASMA_EXPORT hsQuat
         return (X == other.X) && (Y == other.Y) && (Z == other.Z) && (W == other.W);
     }
 
-    bool operator!=(const hsQuat& other) const
-    {
-        return (X != other.X) || (Y != other.Y) || (Z != other.Z) || (W != other.W);
-    }
+    bool operator!=(const hsQuat& other) const { return !operator==(other); }
 
     hsQuat operator+(const hsQuat& rt) const
     {
diff --git a/core/PRP/KeyedObject/plKey.h b/core/PRP/KeyedObject/plKey.h
index 107cc115..26488cb0 100644
--- a/core/PRP/KeyedObject/plKey.h
+++ b/core/PRP/KeyedObject/plKey.h
@@ -81,7 +81,9 @@ class HSPLASMA_EXPORT plKeyData
      * equivalent.  This basically just calls the == operator on the
      * plUoid (so storage information is not compared).
      */
-    bool operator==(plKeyData& other) const { return (fUoid == other.fUoid); }
+    bool operator==(const plKeyData& other) const { return (fUoid == other.fUoid); }
+
+    bool operator!=(const plKeyData& other) const { return !operator==(other); }
 
     /**
      * Read a key directly from the key index of a PRP file.  This will
@@ -347,10 +349,10 @@ class HSPLASMA_EXPORT plKey HS_FINAL
     bool operator==(const plKeyData* other) const { return fKeyData == other; }
 
     /** Returns true if the keys point to different plKeyData structures */
-    bool operator!=(const plKey& other) const { return fKeyData != other.fKeyData; }
+    bool operator!=(const plKey& other) const { return !operator==(other); }
 
     /** Returns true if this key's plKeyData is NOT 'other' */
-    bool operator!=(const plKeyData* other) const { return fKeyData != other; }
+    bool operator!=(const plKeyData* other) const { return !operator==(other); }
 
     /** Provides sorting functionality for STL containers */
     bool operator<(const plKey& other) const
diff --git a/core/PRP/KeyedObject/plLocation.cpp b/core/PRP/KeyedObject/plLocation.cpp
index cb66a7f2..a30f33c1 100644
--- a/core/PRP/KeyedObject/plLocation.cpp
+++ b/core/PRP/KeyedObject/plLocation.cpp
@@ -20,20 +20,25 @@
 bool plLocation::operator==(const plLocation& other) const
 {
     return (fState == other.fState && fPageNum == other.fPageNum
-            && fSeqPrefix == other.fSeqPrefix);
+            && fSeqPrefix == other.fSeqPrefix && fFlags == other.fFlags);
 }
 
-bool plLocation::operator!=(const plLocation& other) const
+bool plLocation::operator<(const plLocation& other) const
 {
-    return (fState != other.fState || fPageNum != other.fPageNum
-            || fSeqPrefix != other.fSeqPrefix || fFlags != other.fFlags);
+    if (fState != other.fState) {
+        return fState < other.fState;
+    } else if (fSeqPrefix != other.fSeqPrefix) {
+        return fSeqPrefix < other.fSeqPrefix;
+    } else if (fPageNum != other.fPageNum) {
+        return fPageNum < other.fPageNum;
+    } else {
+        return fFlags < other.fFlags;
+    }
 }
 
-bool plLocation::operator<(const plLocation& other) const
+bool plLocation::isSamePage(const plLocation& other) const
 {
-    if (fSeqPrefix == other.fSeqPrefix)
-        return fPageNum < other.fPageNum;
-    return fSeqPrefix < other.fSeqPrefix;
+    return fState == other.fState && fSeqPrefix == other.fSeqPrefix && fPageNum == other.fPageNum;
 }
 
 void plLocation::parse(unsigned int id)
diff --git a/core/PRP/KeyedObject/plLocation.h b/core/PRP/KeyedObject/plLocation.h
index 524c6ec5..8dcb9351 100644
--- a/core/PRP/KeyedObject/plLocation.h
+++ b/core/PRP/KeyedObject/plLocation.h
@@ -53,9 +53,12 @@ class HSPLASMA_EXPORT plLocation
     void setVer(PlasmaVer pv) { fVer = pv; }
 
     bool operator==(const plLocation& other) const;
-    bool operator!=(const plLocation& other) const;
+    bool operator!=(const plLocation& other) const { return !operator==(other); }
     bool operator<(const plLocation& other) const;
 
+    /** Compare two locations only by their state and sequence number, ignoring flags. */
+    bool isSamePage(const plLocation& other) const;
+
     void parse(unsigned int id);
     unsigned int unparse() const;
 
diff --git a/core/ResManager/plResManager.cpp b/core/ResManager/plResManager.cpp
index 37f8ed76..226c7fc2 100644
--- a/core/ResManager/plResManager.cpp
+++ b/core/ResManager/plResManager.cpp
@@ -273,7 +273,7 @@ plPageInfo* plResManager::FindPage(const plLocation& loc)
 {
     std::vector<plPageInfo*>::iterator pi = pages.begin();
     while (pi != pages.end()) {
-        if ((*pi)->getLocation() == loc)
+        if ((*pi)->getLocation().isSamePage(loc))
             return *pi;
         pi++;
     }
@@ -282,16 +282,16 @@ plPageInfo* plResManager::FindPage(const plLocation& loc)
 
 void plResManager::UnloadPage(const plLocation& loc)
 {
-    // Make a copy, in case someone passed us the page's getLocation() reference
-    plLocation pageLoc = loc;
-
     for (auto it = pages.begin(); it != pages.end(); it++) {
-        if ((*it)->getLocation() == loc) {
+        if ((*it)->getLocation().isSamePage(loc)) {
+            // Copy the location so we can still use it
+            // after the plPageInfo has been deleted.
+            plLocation foundLocation = (*it)->getLocation();
             if (pageUnloadFunc)
-                pageUnloadFunc(loc);
+                pageUnloadFunc(foundLocation);
             delete *it;
             pages.erase(it);
-            keys.delAll(pageLoc);
+            keys.delAll(foundLocation);
             break;
         }
     }
diff --git a/core/Sys/hsColor.cpp b/core/Sys/hsColor.cpp
index 4ef76058..2eb4a698 100644
--- a/core/Sys/hsColor.cpp
+++ b/core/Sys/hsColor.cpp
@@ -49,11 +49,6 @@ bool hsColorRGBA::operator==(const hsColorRGBA& other) const
     return (r == other.r) && (g == other.g) && (b == other.b) && (a == other.a);
 }
 
-bool hsColorRGBA::operator!=(const hsColorRGBA& other) const
-{
-    return (r != other.r) || (g != other.g) || (b != other.b) || (a != other.a);
-}
-
 void hsColorRGBA::read(hsStream* S)
 {
     r = S->readFloat();
@@ -113,11 +108,6 @@ bool hsColor32::operator==(const hsColor32& other) const
     return (color == other.color);
 }
 
-bool hsColor32::operator!=(const hsColor32& other) const
-{
-    return (color != other.color);
-}
-
 void hsColor32::read32(hsStream* S)
 {
     color = S->readInt();
diff --git a/core/Sys/hsColor.h b/core/Sys/hsColor.h
index a62c00b4..92c4204f 100644
--- a/core/Sys/hsColor.h
+++ b/core/Sys/hsColor.h
@@ -45,7 +45,7 @@ struct HSPLASMA_EXPORT hsColorRGBA
     void set(const hsColorRGBA& init);
 
     bool operator==(const hsColorRGBA& other) const;
-    bool operator!=(const hsColorRGBA& other) const;
+    bool operator!=(const hsColorRGBA& other) const { return !operator==(other); }
 
     void read(hsStream* S);
     void write(hsStream* S);
@@ -74,7 +74,7 @@ struct HSPLASMA_EXPORT hsColor32
         : b(blue), g(green), r(red), a(alpha) { }
 
     bool operator==(const hsColor32& other) const;
-    bool operator!=(const hsColor32& other) const;
+    bool operator!=(const hsColor32& other) const { return !operator==(other); }
 
     void read32(hsStream* S);
     void write32(hsStream* S);
diff --git a/core/Sys/plUnifiedTime.cpp b/core/Sys/plUnifiedTime.cpp
index 58489ad6..404c9dcb 100644
--- a/core/Sys/plUnifiedTime.cpp
+++ b/core/Sys/plUnifiedTime.cpp
@@ -151,11 +151,6 @@ bool plUnifiedTime::operator==(const plUnifiedTime& other)
     return (fSecs == other.fSecs && fMicros == other.fMicros);
 }
 
-bool plUnifiedTime::operator!=(const plUnifiedTime& other)
-{
-    return (fSecs != other.fSecs || fMicros != other.fMicros);
-}
-
 bool plUnifiedTime::operator<(const plUnifiedTime& other)
 {
     if (fSecs < other.fSecs)
diff --git a/core/Sys/plUnifiedTime.h b/core/Sys/plUnifiedTime.h
index 20aec3e2..850a8af8 100644
--- a/core/Sys/plUnifiedTime.h
+++ b/core/Sys/plUnifiedTime.h
@@ -63,7 +63,7 @@ class HSPLASMA_EXPORT plUnifiedTime
     plUnifiedTime& operator+=(const plUnifiedTime& other);
     plUnifiedTime& operator-=(const plUnifiedTime& other);
     bool operator==(const plUnifiedTime& other);
-    bool operator!=(const plUnifiedTime& other);
+    bool operator!=(const plUnifiedTime& other) { return !operator==(other); }
     bool operator<(const plUnifiedTime& other);
     bool operator>(const plUnifiedTime& other);
     bool operator<=(const plUnifiedTime& other);
diff --git a/core/Sys/plUuid.cpp b/core/Sys/plUuid.cpp
index 4b0216c2..d20d81a2 100644
--- a/core/Sys/plUuid.cpp
+++ b/core/Sys/plUuid.cpp
@@ -35,13 +35,6 @@ bool plUuid::operator==(const plUuid& other) const
     return (memcmp(fData4, other.fData4, sizeof(fData4)) == 0);
 }
 
-bool plUuid::operator!=(const plUuid& other) const
-{
-    if (fData1 == other.fData1 || fData2 == other.fData2 || fData3 == other.fData3)
-        return false;
-    return (memcmp(fData4, other.fData4, sizeof(fData4)) != 0);
-}
-
 void plUuid::read(hsStream* S)
 {
     fData1 = S->readInt();
diff --git a/core/Sys/plUuid.h b/core/Sys/plUuid.h
index 10e8883f..6d9926bc 100644
--- a/core/Sys/plUuid.h
+++ b/core/Sys/plUuid.h
@@ -53,7 +53,7 @@ struct HSPLASMA_EXPORT plUuid {
     bool operator==(const plUuid& other) const;
 
     /** Returns true if the two UUIDs are non-identical. */
-    bool operator!=(const plUuid& other) const;
+    bool operator!=(const plUuid& other) const { return !operator==(other); }
 
     /** Read the UUID from a stream */
     void read(hsStream* S);
diff --git a/core/Util/hsBitVector.h b/core/Util/hsBitVector.h
index 7a47e3e7..52ad3ac7 100644
--- a/core/Util/hsBitVector.h
+++ b/core/Util/hsBitVector.h
@@ -69,6 +69,8 @@ class HSPLASMA_EXPORT hsBitVector
         /** Comparison operator */
         bool operator==(bool value) const;
 
+        bool operator!=(bool value) const { return !operator==(value); }
+
         /** Assignment operator -- modifies the hsBitVector */
         Bit& operator=(bool value);
     };
diff --git a/core/Util/plMD5.cpp b/core/Util/plMD5.cpp
index 5d7ea23e..29d4ac84 100644
--- a/core/Util/plMD5.cpp
+++ b/core/Util/plMD5.cpp
@@ -61,11 +61,6 @@ bool plMD5Hash::operator==(const plMD5Hash& cmp) const
     return memcmp(fHash, cmp.fHash, sizeof(fHash)) == 0;
 }
 
-bool plMD5Hash::operator!=(const plMD5Hash& cmp) const
-{
-    return memcmp(fHash, cmp.fHash, sizeof(fHash)) != 0;
-}
-
 ST::string plMD5Hash::toHex() const
 {
     // Little-endian byte order
diff --git a/core/Util/plMD5.h b/core/Util/plMD5.h
index a0e8c2a7..317df30e 100644
--- a/core/Util/plMD5.h
+++ b/core/Util/plMD5.h
@@ -29,7 +29,7 @@ class HSPLASMA_EXPORT plMD5Hash
     plMD5Hash();
     plMD5Hash(const char* hex) { fromHex(hex); }
     bool operator==(const plMD5Hash& cmp) const;
-    bool operator!=(const plMD5Hash& cmp) const;
+    bool operator!=(const plMD5Hash& cmp) const { return !operator==(cmp); }
 
     ST::string toHex() const;
     void fromHex(const char* hex);
diff --git a/net/auth/pnVaultNode.h b/net/auth/pnVaultNode.h
index f315f8e4..42520fab 100644
--- a/net/auth/pnVaultNode.h
+++ b/net/auth/pnVaultNode.h
@@ -127,6 +127,7 @@ struct HSPLASMANET_EXPORT pnVaultNodeRef
     void read(const unsigned char* buffer);
     void write(unsigned char* buffer);
     bool operator==(const pnVaultNodeRef& ref) const;
+    bool operator!=(const pnVaultNodeRef& ref) const { return !operator==(ref); }
 };
 
 #endif
diff --git a/net/crypt/pnBigInteger.cpp b/net/crypt/pnBigInteger.cpp
index 51a264f2..49c35025 100644
--- a/net/crypt/pnBigInteger.cpp
+++ b/net/crypt/pnBigInteger.cpp
@@ -104,16 +104,6 @@ bool pnBigInteger::operator==(unsigned int num) const
     return BN_is_word(fValue, num) != 0;
 }
 
-bool pnBigInteger::operator!=(const pnBigInteger& num) const
-{
-    return BN_cmp(fValue, num.fValue) != 0;
-}
-
-bool pnBigInteger::operator!=(unsigned int num) const
-{
-    return BN_is_word(fValue, num) == 0;
-}
-
 bool pnBigInteger::operator<(const pnBigInteger& num) const
 {
     return BN_cmp(fValue, num.fValue) < 0;
diff --git a/net/crypt/pnBigInteger.h b/net/crypt/pnBigInteger.h
index 3ae34d5a..9fbfc76e 100644
--- a/net/crypt/pnBigInteger.h
+++ b/net/crypt/pnBigInteger.h
@@ -49,8 +49,8 @@ class HSPLASMANET_EXPORT pnBigInteger
     // Comparison
     bool operator==(const pnBigInteger& num) const;
     bool operator==(unsigned int num) const;
-    bool operator!=(const pnBigInteger& num) const;
-    bool operator!=(unsigned int num) const;
+    bool operator!=(const pnBigInteger& num) const { return !operator==(num); }
+    bool operator!=(unsigned int num) const { return !operator==(num); }
     bool operator<(const pnBigInteger& num) const;
     bool operator<(unsigned int num) const;
     bool operator>(const pnBigInteger& num) const;