The following values can be specified for the intrinsic inline size of an element:

none

The element has no intrinsic inline-size.

<length>

The element has the specified inline-size (<length>).

auto <length>

When the element is in size containment and skipping its contents (for example, when it is offscreen and content-visibility: auto is set) the inline size is remembered from the actual size of the element when it was last able to render its child elements. If the element has never rendered its child elements and hence has no remembered value for the normally rendered element size, or if it is not skipping its contents, the inline size is the specified <length>.

The property is commonly applied alongside elements that can trigger size containment, such as contain: size and content-visibility.

Size containment allows a user agent to lay out an element as though it had a fixed size, preventing unnecessary reflows by avoiding the re-rendering of child elements to determine the actual size (thereby improving user experience). By default, size containment treats elements as though they had no contents, and may collapse the layout in the same way as if the contents had no width or height. The contain-intrinsic-inline-size property allows authors to specify an appropriate value to be used as the inline-size for layout.

The auto <length> value allows the inline-size of the element to be stored if the element is ever "normally rendered" (with its child elements), and then used instead of the specified value when the element is skipping its contents. This allows offscreen elements with content-visibility: auto to benefit from size containment without developers having to be as precise in their estimates of element size. The remembered value is not used if the child elements are being rendered (if size containment is enabled, the <length> will be used).

contain-intrinsic-inline-size = 
  none           |
  <length>       |
  auto <length>  

The HTML below defines an element "contained_element" that will be subject to size constraint, and which contains a child element.

<div id="contained_element">
  <div class="child_element"></div>
</div>

The CSS below sets the content-visibility of contained_element to auto, so if the element is hidden it will be size constrained. The intrinsic block size and inline size that are used when it is size constrained are set at the same time using contain-intrinsic-block-size and contain-intrinsic-inline-size, respectively.

#contained_element {
  border: 2px solid green;
  inline-size: 151px;
  content-visibility: auto;
  contain-intrinsic-inline-size: 152px;
  contain-intrinsic-block-size: 52px;
}
.child_element {
  border: 1px solid red;
  background: blue;
  block-size: 50px;
  inline-size: 150px;
}

• content-visibility: the new CSS property that boosts your rendering performance (web.dev)
• contain-intrinsic-block-size
• contain-intrinsic-size
• contain-intrinsic-width
• contain-intrinsic-height