# isTriviallyIdentical(to:) Returns a boolean value indicating whether this set is identical to `other`. ``` func isTriviallyIdentical(to other: Set) -> Bool ``` ## Discussion Two set values are identical if there is no way to distinguish between them. For any values `a`, `b`, and `c`: - `a.isTriviallyIdentical(to: a)` is always `true`. (Reflexivity) - `a.isTriviallyIdentical(to: b)` implies `b.isTriviallyIdentical(to: a)`. (Symmetry) - If `a.isTriviallyIdentical(to: b)` and `b.isTriviallyIdentical(to: c)` are both `true`, then `a.isTriviallyIdentical(to: c)` is also `true`. (Transitivity) - `a.isTriviallyIdentical(b)` implies `a == b`. `a == b` does not imply `a.isTriviallyIdentical(b)` Values produced by copying the same value, with no intervening mutations, will compare identical: ```swift let d = c print(c.isTriviallyIdentical(to: d)) // Prints true ``` Comparing sets this way includes comparing (normally) hidden implementation details such as the memory location of any underlying set storage object. Therefore, identical sets are guaranteed to compare equal with `==`, but not all equal sets are considered identical. > Complexity: O(1) --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)