diff --git a/MLEM.Extended/Tiled/LayerPosition.cs b/MLEM.Extended/Tiled/LayerPosition.cs
index c7138ff..c47cfc0 100644
--- a/MLEM.Extended/Tiled/LayerPosition.cs
+++ b/MLEM.Extended/Tiled/LayerPosition.cs
@@ -1,3 +1,4 @@
+using System;
 using System.Runtime.Serialization;
 using MonoGame.Extended.Tiled;
 
@@ -6,7 +7,7 @@ namespace MLEM.Extended.Tiled {
     /// A struct that represents a position on a <see cref="TiledMap"/> with multiple layers.
     /// </summary>
     [DataContract]
-    public struct LayerPosition {
+    public struct LayerPosition : IEquatable<LayerPosition> {
 
         /// <summary>
         /// The name of the layer that this position is on
@@ -36,16 +37,6 @@ namespace MLEM.Extended.Tiled {
             this.Y = y;
         }
 
-        /// <inheritdoc cref="Equals(LayerPosition)"/>
-        public static bool operator ==(LayerPosition left, LayerPosition right) {
-            return left.Equals(right);
-        }
-
-        /// <inheritdoc cref="Equals(LayerPosition)"/>
-        public static bool operator !=(LayerPosition left, LayerPosition right) {
-            return !left.Equals(right);
-        }
-
         /// <inheritdoc cref="Equals(object)"/>
         public bool Equals(LayerPosition other) {
             return this.Layer == other.Layer && this.X == other.X && this.Y == other.Y;
@@ -73,5 +64,58 @@ namespace MLEM.Extended.Tiled {
             return $"{nameof(this.Layer)}: {this.Layer}, {nameof(this.X)}: {this.X}, {nameof(this.Y)}: {this.Y}";
         }
 
+        /// <summary>
+        /// Adds the given layer positions together, returning a new layer position with the sum of their coordinates.
+        /// If the two layer positions' <see cref="Layer"/> differ, an <see cref="ArgumentException"/> is thrown.
+        /// </summary>
+        /// <param name="left">The left position.</param>
+        /// <param name="right">The right position.</param>
+        /// <returns>The sum of the positions.</returns>
+        /// <exception cref="ArgumentException">Thrown if the two positions' <see cref="Layer"/> are not the same.</exception>
+        public static LayerPosition Add(LayerPosition left, LayerPosition right) {
+            if (left.Layer != right.Layer)
+                throw new ArgumentException("Cannot add layer positions on different layers");
+            return new LayerPosition(left.Layer, left.X + right.X, left.Y + right.Y);
+        }
+
+        /// <inheritdoc cref="Equals(LayerPosition)"/>
+        public static bool operator ==(LayerPosition left, LayerPosition right) {
+            return left.Equals(right);
+        }
+
+        /// <inheritdoc cref="Equals(LayerPosition)"/>
+        public static bool operator !=(LayerPosition left, LayerPosition right) {
+            return !left.Equals(right);
+        }
+
+        /// <summary>
+        /// Returns the negative of the given layer position.
+        /// </summary>
+        /// <param name="position">The position to negate.</param>
+        /// <returns>The negative position.</returns>
+        public static LayerPosition operator -(LayerPosition position) {
+            return new LayerPosition(position.Layer, -position.X, -position.Y);
+        }
+
+        /// <summary>
+        /// Returns the sum of the two layer positions using <see cref="Add"/>.
+        /// </summary>
+        /// <param name="left">The left position.</param>
+        /// <param name="right">The right position.</param>
+        /// <returns>The sum of the positions.</returns>
+        public static LayerPosition operator +(LayerPosition left, LayerPosition right) {
+            return Add(left, right);
+        }
+
+        /// <summary>
+        /// Subtracts the second from the first position using <see cref="Add"/>.
+        /// </summary>
+        /// <param name="left">The left position.</param>
+        /// <param name="right">The right position.</param>
+        /// <returns>The difference of the positions.</returns>
+        public static LayerPosition operator -(LayerPosition left, LayerPosition right) {
+            return Add(left, -right);
+        }
+
     }
 }
\ No newline at end of file
diff --git a/MLEM.Ui/Style/StyleProp.cs b/MLEM.Ui/Style/StyleProp.cs
index 946ef6d..87163a9 100644
--- a/MLEM.Ui/Style/StyleProp.cs
+++ b/MLEM.Ui/Style/StyleProp.cs
@@ -1,3 +1,4 @@
+using System;
 using System.Collections.Generic;
 using MLEM.Ui.Elements;
 
@@ -8,20 +9,20 @@ namespace MLEM.Ui.Style {
     /// Note that <c>T</c> implicitly converts to <c>StyleProp{T}</c> and vice versa.
     /// </summary>
     /// <typeparam name="T">The type of style setting that this property stores</typeparam>
-    public struct StyleProp<T> {
+    public struct StyleProp<T> : IEquatable<StyleProp<T>> {
 
         /// <summary>
         /// The currently applied style
         /// </summary>
         public T Value { get; private set; }
-        private byte lastSetPriority;
+        private byte priority;
 
         /// <summary>
-        /// Creates a new style property with the given custom style.
+        /// Creates a new style property with the given custom style and a priority of <see cref="byte.MaxValue"/>.
         /// </summary>
         /// <param name="value">The custom style to apply</param>
         public StyleProp(T value) {
-            this.lastSetPriority = byte.MaxValue;
+            this.priority = byte.MaxValue;
             this.Value = value;
         }
 
@@ -33,9 +34,9 @@ namespace MLEM.Ui.Style {
         /// <param name="priority">The priority that this style value has. Higher priority style values will override lower priority style values.</param>
         ///<seealso cref="CopyFromStyle"/>
         public void SetFromStyle(T value, byte priority = 0) {
-            if (priority >= this.lastSetPriority) {
+            if (priority >= this.priority) {
                 this.Value = value;
-                this.lastSetPriority = priority;
+                this.priority = priority;
             }
         }
 
@@ -70,6 +71,26 @@ namespace MLEM.Ui.Style {
             return !EqualityComparer<T>.Default.Equals(this.Value, default);
         }
 
+        /// <summary>Indicates whether the current object is equal to another object of the same type.</summary>
+        /// <param name="other">An object to compare with this object.</param>
+        /// <returns>true if the current object is equal to the <paramref name="other">other</paramref> parameter; otherwise, false.</returns>
+        public bool Equals(StyleProp<T> other) {
+            return EqualityComparer<T>.Default.Equals(this.Value, other.Value);
+        }
+
+        /// <summary>Indicates whether this instance and a specified object are equal.</summary>
+        /// <param name="obj">The object to compare with the current instance.</param>
+        /// <returns>true if <paramref name="obj">obj</paramref> and this instance are the same type and represent the same value; otherwise, false.</returns>
+        public override bool Equals(object obj) {
+            return obj is StyleProp<T> other && this.Equals(other);
+        }
+
+        /// <summary>Returns the hash code for this instance.</summary>
+        /// <returns>A 32-bit signed integer that is the hash code for this instance.</returns>
+        public override int GetHashCode() {
+            return EqualityComparer<T>.Default.GetHashCode(this.Value);
+        }
+
         /// <summary>Returns the fully qualified type name of this instance.</summary>
         /// <returns>The fully qualified type name.</returns>
         public override string ToString() {
@@ -94,5 +115,25 @@ namespace MLEM.Ui.Style {
             return new StyleProp<T>(prop);
         }
 
+        /// <summary>
+        /// Compares the two style properties and returns whether they are equal using <see cref="Equals(MLEM.Ui.Style.StyleProp{T})"/>.
+        /// </summary>
+        /// <param name="left">The left style property.</param>
+        /// <param name="right">The right style property.</param>
+        /// <returns>Whether the two style properties are equal.</returns>
+        public static bool operator ==(StyleProp<T> left, StyleProp<T> right) {
+            return left.Equals(right);
+        }
+
+        /// <summary>
+        /// Compares the two style properties and returns whether they are not equal using <see cref="Equals(MLEM.Ui.Style.StyleProp{T})"/>.
+        /// </summary>
+        /// <param name="left">The left style property.</param>
+        /// <param name="right">The right style property.</param>
+        /// <returns>Whether the two style properties are not equal.</returns>
+        public static bool operator !=(StyleProp<T> left, StyleProp<T> right) {
+            return !left.Equals(right);
+        }
+
     }
 }
\ No newline at end of file
diff --git a/MLEM/Input/GenericInput.cs b/MLEM/Input/GenericInput.cs
index 3d3584e..871b651 100644
--- a/MLEM/Input/GenericInput.cs
+++ b/MLEM/Input/GenericInput.cs
@@ -10,7 +10,7 @@ namespace MLEM.Input {
     /// Note that this type is serializable using <see cref="DataContractAttribute"/>.
     /// </summary>
     [DataContract]
-    public readonly struct GenericInput {
+    public readonly struct GenericInput : IEquatable<GenericInput> {
 
         /// <summary>
         /// The <see cref="InputType"/> of this generic input's current <see cref="value"/>.
@@ -40,11 +40,18 @@ namespace MLEM.Input {
             }
         }
 
+        /// <summary>Indicates whether the current object is equal to another object of the same type.</summary>
+        /// <param name="other">An object to compare with this object.</param>
+        /// <returns>true if the current object is equal to the <paramref name="other">other</paramref> parameter; otherwise, false.</returns>
+        public bool Equals(GenericInput other) {
+            return this.Type == other.Type && this.value == other.value;
+        }
+
         /// <summary>Indicates whether this instance and a specified object are equal.</summary>
         /// <param name="obj">The object to compare with the current instance.</param>
-        /// <returns><see langword="true" /> if <paramref name="obj" /> and this instance are the same type and represent the same value; otherwise, <see langword="false" />.</returns>
+        /// <returns>true if <paramref name="obj">obj</paramref> and this instance are the same type and represent the same value; otherwise, false.</returns>
         public override bool Equals(object obj) {
-            return obj is GenericInput o && this.Type == o.Type && this.value == o.value;
+            return obj is GenericInput other && this.Equals(other);
         }
 
         /// <summary>Returns the hash code for this instance.</summary>
@@ -54,7 +61,7 @@ namespace MLEM.Input {
         }
 
         /// <summary>
-        /// Compares the two generic input instances for equality using <see cref="Equals"/>
+        /// Compares the two generic input instances for equality using <see cref="Equals(GenericInput)"/>
         /// </summary>
         /// <param name="left">The left input</param>
         /// <param name="right">The right input</param>
@@ -64,7 +71,7 @@ namespace MLEM.Input {
         }
 
         /// <summary>
-        /// Compares the two generic input instances for inequality using <see cref="Equals"/>
+        /// Compares the two generic input instances for inequality using <see cref="Equals(GenericInput)"/>
         /// </summary>
         /// <param name="left">The left input</param>
         /// <param name="right">The right input</param>
diff --git a/MLEM/Misc/Padding.cs b/MLEM/Misc/Padding.cs
index e8185e0..44692c9 100644
--- a/MLEM/Misc/Padding.cs
+++ b/MLEM/Misc/Padding.cs
@@ -1,3 +1,4 @@
+using System;
 using System.Runtime.Serialization;
 using Microsoft.Xna.Framework;
 
@@ -7,7 +8,7 @@ namespace MLEM.Misc {
     /// A padding is an object of data that stores an offset from each side of a rectangle or square.
     /// </summary>
     [DataContract]
-    public struct Padding {
+    public struct Padding : IEquatable<Padding> {
 
         /// <summary>
         /// The empty padding, with all borders set to 0
diff --git a/MLEM/Pathfinding/AStar.cs b/MLEM/Pathfinding/AStar.cs
index eed1717..bc719c3 100644
--- a/MLEM/Pathfinding/AStar.cs
+++ b/MLEM/Pathfinding/AStar.cs
@@ -179,7 +179,7 @@ namespace MLEM.Pathfinding {
     /// A point in a <see cref="AStar{T}"/> path
     /// </summary>
     /// <typeparam name="T">The type of point used for this path</typeparam>
-    public class PathPoint<T> {
+    public class PathPoint<T> : IEquatable<PathPoint<T>> {
 
         /// <summary>
         /// The path point that this point originated from
@@ -214,13 +214,18 @@ namespace MLEM.Pathfinding {
             this.F = this.G + distance * defaultCost;
         }
 
+        /// <summary>Indicates whether the current object is equal to another object of the same type.</summary>
+        /// <param name="other">An object to compare with this object.</param>
+        /// <returns>true if the current object is equal to the <paramref name="other">other</paramref> parameter; otherwise, false.</returns>
+        public bool Equals(PathPoint<T> other) {
+            return ReferenceEquals(this, other) || EqualityComparer<T>.Default.Equals(this.Pos, other.Pos);
+        }
+
         /// <summary>Indicates whether this instance and a specified object are equal.</summary>
         /// <param name="obj">The object to compare with the current instance.</param>
         /// <returns><see langword="true" /> if <paramref name="obj" /> and this instance are the same type and represent the same value; otherwise, <see langword="false" />.</returns>
         public override bool Equals(object obj) {
-            if (obj == this)
-                return true;
-            return obj is PathPoint<T> point && point.Pos.Equals(this.Pos);
+            return obj is PathPoint<T> other && this.Equals(other);
         }
 
         /// <summary>Returns the hash code for this instance.</summary>