diff --git a/src/Consolonia.Core/Drawing/PixelBufferImplementation/DrawingBoxSymbol.cs b/src/Consolonia.Core/Drawing/PixelBufferImplementation/DrawingBoxSymbol.cs
index 1b7d01d..af6011a 100644
--- a/src/Consolonia.Core/Drawing/PixelBufferImplementation/DrawingBoxSymbol.cs
+++ b/src/Consolonia.Core/Drawing/PixelBufferImplementation/DrawingBoxSymbol.cs
@@ -155,13 +155,11 @@ public override int GetHashCode()
 
         public static bool operator ==(DrawingBoxSymbol left, DrawingBoxSymbol right)
         {
-            if ((object)left is null) return (object)right is null;
             return left.Equals(right);
         }
 
         public static bool operator !=(DrawingBoxSymbol left, DrawingBoxSymbol right)
         {
-            if ((object)left is null) return (object)right is not null;
             return !left!.Equals(right);
         }
     }
diff --git a/src/Consolonia.Core/Drawing/PixelBufferImplementation/Pixel.cs b/src/Consolonia.Core/Drawing/PixelBufferImplementation/Pixel.cs
index 3c0e7ab..87086b9 100644
--- a/src/Consolonia.Core/Drawing/PixelBufferImplementation/Pixel.cs
+++ b/src/Consolonia.Core/Drawing/PixelBufferImplementation/Pixel.cs
@@ -88,9 +88,6 @@ public Pixel(PixelForeground foreground,
 
         public bool Equals(Pixel other)
         {
-            if ((object)other == null)
-                return false;
-
             return Foreground.Equals(other.Foreground) &&
                    Background.Equals(other.Background) &&
                    IsCaret.Equals(other.IsCaret);
@@ -179,14 +176,11 @@ public override int GetHashCode()
 
         public static bool operator ==(Pixel left, Pixel right)
         {
-            if ((object)left is null) return (object)right is null;
-
             return left.Equals(right);
         }
 
         public static bool operator !=(Pixel left, Pixel right)
         {
-            if ((object)left is null) return (object)right is not null;
             return !left.Equals(right);
         }
     }
diff --git a/src/Consolonia.Core/Drawing/PixelBufferImplementation/PixelBackground.cs b/src/Consolonia.Core/Drawing/PixelBufferImplementation/PixelBackground.cs
index f265ca0..b2f72af 100644
--- a/src/Consolonia.Core/Drawing/PixelBufferImplementation/PixelBackground.cs
+++ b/src/Consolonia.Core/Drawing/PixelBufferImplementation/PixelBackground.cs
@@ -35,7 +35,6 @@ public PixelBackground(PixelBackgroundMode mode, Color? color = null)
 
         public bool Equals(PixelBackground other)
         {
-            if ((object)other is null) return false;
             return Color.Equals(other.Color) && Mode == other.Mode;
         }
 
@@ -74,13 +73,11 @@ public override int GetHashCode()
 
         public static bool operator ==(PixelBackground left, PixelBackground right)
         {
-            if ((object)left is null) return (object)right is null;
             return left.Equals(right);
         }
 
         public static bool operator !=(PixelBackground left, PixelBackground right)
         {
-            if ((object)left == null) return (object)right != null;
             return !left.Equals(right);
         }
     }
diff --git a/src/Consolonia.Core/Drawing/PixelBufferImplementation/PixelForeground.cs b/src/Consolonia.Core/Drawing/PixelBufferImplementation/PixelForeground.cs
index 1eafef2..ebc6ad3 100644
--- a/src/Consolonia.Core/Drawing/PixelBufferImplementation/PixelForeground.cs
+++ b/src/Consolonia.Core/Drawing/PixelBufferImplementation/PixelForeground.cs
@@ -49,8 +49,6 @@ public PixelForeground(ISymbol symbol, Color color,
 
         public bool Equals(PixelForeground other)
         {
-            if ((object)other is null) return false;
-
             return Symbol.Equals(other.Symbol) &&
                    Color.Equals(other.Color) &&
                    Weight.Equals(other.Weight) &&
@@ -88,13 +86,11 @@ public override int GetHashCode()
 
         public static bool operator ==(PixelForeground left, PixelForeground right)
         {
-            if ((object)left is null) return (object)right is null;
             return left.Equals(right);
         }
 
         public static bool operator !=(PixelForeground left, PixelForeground right)
         {
-            if ((object)left is null) return (object)right is not null;
             return !left.Equals(right);
         }
     }
diff --git a/src/Consolonia.Core/Drawing/PixelBufferImplementation/SimpleSymbol.cs b/src/Consolonia.Core/Drawing/PixelBufferImplementation/SimpleSymbol.cs
index b130cca..fb6b103 100644
--- a/src/Consolonia.Core/Drawing/PixelBufferImplementation/SimpleSymbol.cs
+++ b/src/Consolonia.Core/Drawing/PixelBufferImplementation/SimpleSymbol.cs
@@ -38,9 +38,6 @@ public SimpleSymbol(Rune rune)
 
         public bool Equals(SimpleSymbol other)
         {
-            if ((object)other is null)
-                return false;
-
             return Text.Equals(other.Text, StringComparison.Ordinal);
         }
 
@@ -70,14 +67,11 @@ public override int GetHashCode()
 
         public static bool operator ==(SimpleSymbol left, SimpleSymbol right)
         {
-            if ((object)left is null) return (object)right is null;
             return left.Equals(right);
         }
 
         public static bool operator !=(SimpleSymbol left, SimpleSymbol right)
         {
-            if ((object)left is null) return (object)right is not null;
-
             return !left.Equals(right);
         }
     }
diff --git a/src/Consolonia.Core/Drawing/RenderTarget.cs b/src/Consolonia.Core/Drawing/RenderTarget.cs
index 91f0565..72fede2 100644
--- a/src/Consolonia.Core/Drawing/RenderTarget.cs
+++ b/src/Consolonia.Core/Drawing/RenderTarget.cs
@@ -198,7 +198,7 @@ public void WritePixel(
                 // want to output as they are already invisible and represented
                 // by the complex glyph coming before it (aka double-wide chars)
                 if (pixel.Foreground.Symbol.Width > 0)
-                    _stringBuilder.Append(pixel.Foreground.Symbol!.Text);
+                    _stringBuilder.Append(pixel.Foreground.Symbol.Text);
 
                 _currentBufferPoint = _currentBufferPoint.WithXpp();
             }
diff --git a/src/Tests/Consolonia.Core.Tests/DrawingContextImplTests.cs b/src/Tests/Consolonia.Core.Tests/DrawingContextImplTests.cs
index e335b4b..04cf43c 100644
--- a/src/Tests/Consolonia.Core.Tests/DrawingContextImplTests.cs
+++ b/src/Tests/Consolonia.Core.Tests/DrawingContextImplTests.cs
@@ -109,7 +109,7 @@ public void DrawDoubleWide()
                 else if (x == 6)
                 {
                     Assert.IsTrue(pixel.Width == 0);
-                    Assert.IsTrue(pixel.Foreground.Symbol!.Text.Length == 0);
+                    Assert.IsTrue(pixel.Foreground.Symbol.Text.Length == 0);
                 }
                 else
                 {
@@ -141,7 +141,7 @@ public void DrawOverDoubleWideFirstChar()
                 else if (x == 6)
                 {
                     Assert.IsTrue(pixel.Width == 1);
-                    Assert.IsTrue(pixel.Foreground.Symbol!.Text == " ");
+                    Assert.IsTrue(pixel.Foreground.Symbol.Text == " ");
                 }
                 else
                 {
@@ -173,7 +173,7 @@ public void DrawOverDoubleWideSecondChar()
                 else if (x == 6)
                 {
                     Assert.IsTrue(pixel.Width == 1);
-                    Assert.IsTrue(pixel.Foreground.Symbol!.Text == "X");
+                    Assert.IsTrue(pixel.Foreground.Symbol.Text == "X");
                     Assert.IsTrue(pixel.Foreground.Color == Colors.Red);
                 }
                 else