diff --git a/TUnit.Assertions.Tests/Bugs/Tests1600.cs b/TUnit.Assertions.Tests/Bugs/Tests1600.cs
index e85824749b..0a8b4850ec 100644
--- a/TUnit.Assertions.Tests/Bugs/Tests1600.cs
+++ b/TUnit.Assertions.Tests/Bugs/Tests1600.cs
@@ -22,6 +22,39 @@ public async Task Custom_Comparer()
         await Assert.That(array1).IsEquivalentTo(array2).Using(new MyModelComparer());
     }
 
+    [Test]
+    public async Task Custom_Predicate()
+    {
+        MyModel[] array1 = [new(), new(), new()];
+        MyModel[] array2 = [new(), new(), new()];
+
+        // Using a lambda predicate instead of implementing IEqualityComparer
+        await Assert.That(array1).IsEquivalentTo(array2).Using((x, y) => true);
+    }
+
+    [Test]
+    public async Task Custom_Predicate_With_Property_Comparison()
+    {
+        var users1 = new[] { new User("Alice", 30), new User("Bob", 25) };
+        var users2 = new[] { new User("Bob", 25), new User("Alice", 30) };
+
+        // Elements have different order but are equivalent by name and age
+        await Assert.That(users1)
+            .IsEquivalentTo(users2)
+            .Using((u1, u2) => u1?.Name == u2?.Name && u1?.Age == u2?.Age);
+    }
+
+    [Test]
+    public async Task Custom_Predicate_Not_Equivalent()
+    {
+        var users1 = new[] { new User("Alice", 30), new User("Bob", 25) };
+        var users2 = new[] { new User("Charlie", 35), new User("Diana", 28) };
+
+        await Assert.That(users1)
+            .IsNotEquivalentTo(users2)
+            .Using((u1, u2) => u1?.Name == u2?.Name && u1?.Age == u2?.Age);
+    }
+
     public class MyModel
     {
         public string Id { get; } = Guid.NewGuid().ToString();
@@ -39,4 +72,6 @@ public int GetHashCode(MyModel obj)
             return 1;
         }
     }
+
+    public record User(string Name, int Age);
 }
diff --git a/TUnit.Assertions/Conditions/DictionaryAssertions.cs b/TUnit.Assertions/Conditions/DictionaryAssertions.cs
index e177b11609..de92090645 100644
--- a/TUnit.Assertions/Conditions/DictionaryAssertions.cs
+++ b/TUnit.Assertions/Conditions/DictionaryAssertions.cs
@@ -1,4 +1,5 @@
 using System.Text;
+using TUnit.Assertions.Conditions.Helpers;
 using TUnit.Assertions.Core;
 
 namespace TUnit.Assertions.Conditions;
@@ -29,6 +30,12 @@ public DictionaryContainsKeyAssertion<TDictionary, TKey, TValue> Using(IEquality
         return new DictionaryContainsKeyAssertion<TDictionary, TKey, TValue>(Context, _expectedKey, comparer);
     }
 
+    public DictionaryContainsKeyAssertion<TDictionary, TKey, TValue> Using(Func<TKey?, TKey?, bool> equalityPredicate)
+    {
+        return new DictionaryContainsKeyAssertion<TDictionary, TKey, TValue>(
+            Context, _expectedKey, new FuncEqualityComparer<TKey>(equalityPredicate));
+    }
+
     protected override Task<AssertionResult> CheckAsync(EvaluationMetadata<TDictionary> metadata)
     {
         var value = metadata.Value;
diff --git a/TUnit.Assertions/Conditions/Helpers/FuncEqualityComparer.cs b/TUnit.Assertions/Conditions/Helpers/FuncEqualityComparer.cs
new file mode 100644
index 0000000000..aeb1307a7b
--- /dev/null
+++ b/TUnit.Assertions/Conditions/Helpers/FuncEqualityComparer.cs
@@ -0,0 +1,25 @@
+namespace TUnit.Assertions.Conditions.Helpers;
+
+/// <summary>
+/// An IEqualityComparer implementation that uses a custom Func for equality comparison.
+/// This allows users to pass lambda predicates to assertion methods like Using().
+/// </summary>
+/// <typeparam name="T">The type of objects to compare.</typeparam>
+internal sealed class FuncEqualityComparer<T> : IEqualityComparer<T>
+{
+    private readonly Func<T?, T?, bool> _equals;
+
+    public FuncEqualityComparer(Func<T?, T?, bool> equals)
+    {
+        _equals = equals ?? throw new ArgumentNullException(nameof(equals));
+    }
+
+    public bool Equals(T? x, T? y) => _equals(x, y);
+
+    // Return a constant hash code to force linear search in collection equivalency.
+    // This is intentional because:
+    // 1. We cannot derive a meaningful hash function from an equality predicate
+    // 2. CollectionEquivalencyChecker already uses O(n²) linear search for custom comparers
+    // 3. This matches the expected behavior for all custom IEqualityComparer implementations
+    public int GetHashCode(T obj) => 0;
+}
diff --git a/TUnit.Assertions/Conditions/IsEquivalentToAssertion.cs b/TUnit.Assertions/Conditions/IsEquivalentToAssertion.cs
index 7592c54f0e..18f2fa8ae7 100644
--- a/TUnit.Assertions/Conditions/IsEquivalentToAssertion.cs
+++ b/TUnit.Assertions/Conditions/IsEquivalentToAssertion.cs
@@ -47,6 +47,12 @@ public IsEquivalentToAssertion<TCollection, TItem> Using(IEqualityComparer<TItem
         return this;
     }
 
+    public IsEquivalentToAssertion<TCollection, TItem> Using(Func<TItem?, TItem?, bool> equalityPredicate)
+    {
+        SetComparer(new FuncEqualityComparer<TItem>(equalityPredicate));
+        return this;
+    }
+
     protected override Task<AssertionResult> CheckAsync(EvaluationMetadata<TCollection> metadata)
     {
         var value = metadata.Value;
diff --git a/TUnit.Assertions/Conditions/NotEquivalentToAssertion.cs b/TUnit.Assertions/Conditions/NotEquivalentToAssertion.cs
index e32548337f..41a6d3d880 100644
--- a/TUnit.Assertions/Conditions/NotEquivalentToAssertion.cs
+++ b/TUnit.Assertions/Conditions/NotEquivalentToAssertion.cs
@@ -46,6 +46,12 @@ public NotEquivalentToAssertion<TCollection, TItem> Using(IEqualityComparer<TIte
         return this;
     }
 
+    public NotEquivalentToAssertion<TCollection, TItem> Using(Func<TItem?, TItem?, bool> equalityPredicate)
+    {
+        SetComparer(new FuncEqualityComparer<TItem>(equalityPredicate));
+        return this;
+    }
+
     protected override Task<AssertionResult> CheckAsync(EvaluationMetadata<TCollection> metadata)
     {
         var value = metadata.Value;
diff --git a/TUnit.Assertions/Conditions/PredicateAssertions.cs b/TUnit.Assertions/Conditions/PredicateAssertions.cs
index 744a257181..4d43ee668d 100644
--- a/TUnit.Assertions/Conditions/PredicateAssertions.cs
+++ b/TUnit.Assertions/Conditions/PredicateAssertions.cs
@@ -1,5 +1,6 @@
 using System.Text;
 using TUnit.Assertions.Attributes;
+using TUnit.Assertions.Conditions.Helpers;
 using TUnit.Assertions.Core;
 
 namespace TUnit.Assertions.Conditions;
@@ -66,6 +67,12 @@ public IsEquatableOrEqualToAssertion<TValue> Using(IEqualityComparer<TValue> com
         return this;
     }
 
+    public IsEquatableOrEqualToAssertion<TValue> Using(Func<TValue?, TValue?, bool> equalityPredicate)
+    {
+        SetComparer(new FuncEqualityComparer<TValue>(equalityPredicate));
+        return this;
+    }
+
     protected override Task<AssertionResult> CheckAsync(EvaluationMetadata<TValue> metadata)
     {
         var value = metadata.Value;
diff --git a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet10_0.verified.txt b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet10_0.verified.txt
index 41743ad69d..193caf076a 100644
--- a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet10_0.verified.txt
+++ b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet10_0.verified.txt
@@ -596,6 +596,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TDictionary> metadata) { }
         protected override string GetExpectation() { }
         public .<TDictionary, TKey, TValue> Using(.<TKey> comparer) { }
+        public .<TDictionary, TKey, TValue> Using(<TKey?, TKey?, bool> equalityPredicate) { }
     }
     public class DictionaryDoesNotContainKeyAssertion<TDictionary, TKey, TValue> : .<TDictionary, TKey, TValue>
         where TDictionary : .<TKey, TValue>
@@ -840,6 +841,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TValue> metadata) { }
         protected override string GetExpectation() { }
         public .<TValue> Using(.<TValue> comparer) { }
+        public .<TValue> Using(<TValue?, TValue?, bool> equalityPredicate) { }
     }
     [.("IsEquivalentTo")]
     public class IsEquivalentToAssertion<TCollection, TItem> : .<TCollection, TItem>
@@ -852,6 +854,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
+        public .<TCollection, TItem> Using(<TItem?, TItem?, bool> equalityPredicate) { }
     }
     public class IsNotAssignableToAssertion<TTarget, TValue> : .<TValue>
     {
@@ -953,6 +956,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
+        public .<TCollection, TItem> Using(<TItem?, TItem?, bool> equalityPredicate) { }
     }
     public class NotNullAssertion<TValue> : .<TValue>
     {
diff --git a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet8_0.verified.txt b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet8_0.verified.txt
index 90595a8661..cdf708e41b 100644
--- a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet8_0.verified.txt
+++ b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet8_0.verified.txt
@@ -591,6 +591,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TDictionary> metadata) { }
         protected override string GetExpectation() { }
         public .<TDictionary, TKey, TValue> Using(.<TKey> comparer) { }
+        public .<TDictionary, TKey, TValue> Using(<TKey?, TKey?, bool> equalityPredicate) { }
     }
     public class DictionaryDoesNotContainKeyAssertion<TDictionary, TKey, TValue> : .<TDictionary, TKey, TValue>
         where TDictionary : .<TKey, TValue>
@@ -835,6 +836,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TValue> metadata) { }
         protected override string GetExpectation() { }
         public .<TValue> Using(.<TValue> comparer) { }
+        public .<TValue> Using(<TValue?, TValue?, bool> equalityPredicate) { }
     }
     [.("IsEquivalentTo")]
     public class IsEquivalentToAssertion<TCollection, TItem> : .<TCollection, TItem>
@@ -847,6 +849,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
+        public .<TCollection, TItem> Using(<TItem?, TItem?, bool> equalityPredicate) { }
     }
     public class IsNotAssignableToAssertion<TTarget, TValue> : .<TValue>
     {
@@ -948,6 +951,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
+        public .<TCollection, TItem> Using(<TItem?, TItem?, bool> equalityPredicate) { }
     }
     public class NotNullAssertion<TValue> : .<TValue>
     {
diff --git a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet9_0.verified.txt b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet9_0.verified.txt
index 32e1ddc218..de701714b4 100644
--- a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet9_0.verified.txt
+++ b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet9_0.verified.txt
@@ -596,6 +596,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TDictionary> metadata) { }
         protected override string GetExpectation() { }
         public .<TDictionary, TKey, TValue> Using(.<TKey> comparer) { }
+        public .<TDictionary, TKey, TValue> Using(<TKey?, TKey?, bool> equalityPredicate) { }
     }
     public class DictionaryDoesNotContainKeyAssertion<TDictionary, TKey, TValue> : .<TDictionary, TKey, TValue>
         where TDictionary : .<TKey, TValue>
@@ -840,6 +841,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TValue> metadata) { }
         protected override string GetExpectation() { }
         public .<TValue> Using(.<TValue> comparer) { }
+        public .<TValue> Using(<TValue?, TValue?, bool> equalityPredicate) { }
     }
     [.("IsEquivalentTo")]
     public class IsEquivalentToAssertion<TCollection, TItem> : .<TCollection, TItem>
@@ -852,6 +854,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
+        public .<TCollection, TItem> Using(<TItem?, TItem?, bool> equalityPredicate) { }
     }
     public class IsNotAssignableToAssertion<TTarget, TValue> : .<TValue>
     {
@@ -953,6 +956,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
+        public .<TCollection, TItem> Using(<TItem?, TItem?, bool> equalityPredicate) { }
     }
     public class NotNullAssertion<TValue> : .<TValue>
     {
diff --git a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.Net4_7.verified.txt b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.Net4_7.verified.txt
index 0ceb47da88..702517902b 100644
--- a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.Net4_7.verified.txt
+++ b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.Net4_7.verified.txt
@@ -575,6 +575,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TDictionary> metadata) { }
         protected override string GetExpectation() { }
         public .<TDictionary, TKey, TValue> Using(.<TKey> comparer) { }
+        public .<TDictionary, TKey, TValue> Using(<TKey?, TKey?, bool> equalityPredicate) { }
     }
     public class DictionaryDoesNotContainKeyAssertion<TDictionary, TKey, TValue> : .<TDictionary, TKey, TValue>
         where TDictionary : .<TKey, TValue>
@@ -810,6 +811,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TValue> metadata) { }
         protected override string GetExpectation() { }
         public .<TValue> Using(.<TValue> comparer) { }
+        public .<TValue> Using(<TValue?, TValue?, bool> equalityPredicate) { }
     }
     [.("IsEquivalentTo")]
     public class IsEquivalentToAssertion<TCollection, TItem> : .<TCollection, TItem>
@@ -820,6 +822,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
+        public .<TCollection, TItem> Using(<TItem?, TItem?, bool> equalityPredicate) { }
     }
     public class IsNotAssignableToAssertion<TTarget, TValue> : .<TValue>
     {
@@ -919,6 +922,7 @@ namespace .Conditions
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
+        public .<TCollection, TItem> Using(<TItem?, TItem?, bool> equalityPredicate) { }
     }
     public class NotNullAssertion<TValue> : .<TValue>
     {