field_ui_field_edit_form in core/modules/field_ui/field_ui.admin.inc

Form constructor for the field instance settings form.

views_ui_add_ajax_trigger in core/modules/views_ui/views_ui.admin.inc

Converts a form element in the add view wizard to be AJAX-enabled.

views_ui_add_form in core/modules/views_ui/views_ui.admin.inc

Form builder for the "Add view" page.

views_ui_preview_form in core/modules/views_ui/views_ui.admin.inc

Provide the preview formulas and the preview output, too.

views_ui_render_display_top in core/modules/views_ui/views_ui.admin.inc

Render the top of the display so it can be updated during ajax operations.

views_ui_standard_form_buttons in core/modules/views_ui/views_ui.admin.inc

Provide a standard set of Apply/Cancel/OK buttons for the forms. Also provide a hidden op operator because the forms plugin doesn't seem to properly provide which button was clicked.