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Document applicative computation expressions with and! keyword #48917

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Add applicative computation expressions documentation to and! section
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12 changes: 10 additions & 2 deletions docs/fsharp/language-reference/computation-expressions.md
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Expand Up @@ -80,7 +80,7 @@ If you bind the call to a computation expression with `let`, you will not get th

### `and!`

The `and!` keyword allows you to bind the results of multiple computation expression calls in a performant manner.
The `and!` keyword allows you to bind the results of multiple computation expression calls in a performant manner. This keyword enables **applicative computation expressions**, which provide a different computational model from the standard monadic approach.

```fsharp
let doThingsAsync url =
Expand All @@ -92,12 +92,20 @@ let doThingsAsync url =
}
```

Using a series of `let! ... let! ...` forces re-execution of expensive binds, so using `let! ... and! ...` should be used when binding the results of numerous computation expressions.
Using a series of `let! ... let! ...` forces sequential execution where each bind depends on the previous one. In contrast, `let! ... and! ...` indicates that the computations are independent of each other. This independence allows computation expression authors to:

- Execute computations more efficiently
- Potentially run computations in parallel
- Accumulate results without forcing unnecessary sequential dependencies

The restriction is that computations combined with `and!` cannot depend on the results of previously bound values within the same `let!`/`and!` chain. This trade-off enables the performance benefits.

`and!` is defined primarily by the `MergeSources(x1, x2)` member on the builder type.

Optionally, `MergeSourcesN(x1, x2 ..., xN)` can be defined to reduce the number of tupling nodes, and `BindN(x1, x2 ..., xN, f)`, or `BindNReturn(x1, x2, ..., xN, f)` can be defined to bind computation expression results efficiently without tupling nodes.

For more information on applicative computation expressions, see [Applicative Computation Expressions in F# 5](../whats-new/fsharp-50.md#applicative-computation-expressions) and [F# RFC FS-1063](https://github.com/fsharp/fslang-design/blob/main/FSharp-5.0/FS-1063-support-letbang-andbang-for-applicative-functors.md).

### `do!`

The `do!` keyword is for calling a computation expression that returns a `unit`-like type (defined by the `Zero` member on the builder):
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