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Showing content from https://fsharp.github.io/fsharp-core-docs/reference/fsharp-collections-comparisonidentity.html below:

ComparisonIdentity (FSharp.Core) | FSharp.Core

Get an implementation of comparison semantics using the given function.

comparer : 'T -> 'T -> int

A function to compare two values.

Returns: IComparer<'T>

An object implementing IComparer using the supplied function.

Create and use a comparer using the given function:

 let comparer = ComparisonIdentity.FromFunction(fun i1 i2 -> compare (i1%5) (i2%5))

 comparer.Compare(7, 2)

val comparer: System.Collections.Generic.IComparer<int>

module ComparisonIdentity from Microsoft.FSharp.Collections

val FromFunction: comparer: ('T -> 'T -> int) -> System.Collections.Generic.IComparer<'T>

val i1: int

val i2: int

val compare: e1: 'T -> e2: 'T -> int (requires comparison)

System.Collections.Generic.IComparer.Compare(x: int, y: int) : int

Evaluates to 0because 7 and 2 compare as equal using to the provided function.

Get an implementation of comparison semantics using non-structural comparison.

Returns: IComparer<^T>

An object implementing IComparer using NonStructuralComparison.Compare.

Create and use a comparer using structural comparison:

 let comparer = ComparisonIdentity.NonStructural<System.DateTime>

 comparer.Compare(System.DateTime.Now, System.DateTime.Today)

val comparer: System.Collections.Generic.IComparer<System.DateTime>

module ComparisonIdentity from Microsoft.FSharp.Collections

val NonStructural<'T (requires member (<) and member (>))> : System.Collections.Generic.IComparer<'T> (requires member (<) and member (>))

namespace System

Multiple items

[<Struct>] type DateTime = new: date: DateOnly * time: TimeOnly -> unit + 16 overloads member Add: value: TimeSpan -> DateTime member AddDays: value: float -> DateTime member AddHours: value: float -> DateTime member AddMicroseconds: value: float -> DateTime member AddMilliseconds: value: float -> DateTime member AddMinutes: value: float -> DateTime member AddMonths: months: int -> DateTime member AddSeconds: value: float -> DateTime member AddTicks: value: int64 -> DateTime ...


<summary>Represents an instant in time, typically expressed as a date and time of day.</summary>

--------------------

System.DateTime ()


   (+0 other overloads)

System.DateTime(ticks: int64) : System.DateTime


   (+0 other overloads)

System.DateTime(date: System.DateOnly, time: System.TimeOnly) : System.DateTime


   (+0 other overloads)

System.DateTime(ticks: int64, kind: System.DateTimeKind) : System.DateTime


   (+0 other overloads)

System.DateTime(date: System.DateOnly, time: System.TimeOnly, kind: System.DateTimeKind) : System.DateTime


   (+0 other overloads)

System.DateTime(year: int, month: int, day: int) : System.DateTime


   (+0 other overloads)

System.DateTime(year: int, month: int, day: int, calendar: System.Globalization.Calendar) : System.DateTime


   (+0 other overloads)

System.DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int) : System.DateTime


   (+0 other overloads)

System.DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int, kind: System.DateTimeKind) : System.DateTime


   (+0 other overloads)

System.DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int, calendar: System.Globalization.Calendar) : System.DateTime


   (+0 other overloads)

System.Collections.Generic.IComparer.Compare(x: System.DateTime, y: System.DateTime) : int

property System.DateTime.Now: System.DateTime with get
<summary>Gets a <see cref="T:System.DateTime" /> object that is set to the current date and time on this computer, expressed as the local time.</summary>
<returns>An object whose value is the current local date and time.</returns>

property System.DateTime.Today: System.DateTime with get
<summary>Gets the current date.</summary>
<returns>An object that is set to today's date, with the time component set to 00:00:00.</returns>

Evaluates to 1.

Get an implementation of comparison semantics using structural comparison.

Returns: IComparer<'T>

An object implementing IComparer using Operators.compare.

Create and use a comparer using structural comparison:

 let compareTuples = ComparisonIdentity.Structural<int * int>

 compareTuples.Compare((1, 4), (1, 5))

val compareTuples: System.Collections.Generic.IComparer<int * int>

module ComparisonIdentity from Microsoft.FSharp.Collections

val Structural<'T (requires comparison)> : System.Collections.Generic.IComparer<'T> (requires comparison)

Multiple items

val int: value: 'T -> int (requires member op_Explicit)

--------------------

type int = int32

--------------------

type int<'Measure> = int

System.Collections.Generic.IComparer.Compare(x: int * int, y: int * int) : int

Evaluates to -1.

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