Replace "check out" with more formal language

Update documentation to use more formal language rather than
"check out".

See gh-28503

spring-boot-project/spring-boot-docs/src/docs/asciidoc/build-tool-plugins/whats-next.adoc

@@ -3,4 +3,4 @@
 If you are interested in how the build tool plugins work, you can look at the {spring-boot-code}/spring-boot-project/spring-boot-tools[`spring-boot-tools`] module on GitHub.
 More technical details of the executable jar format are covered in <<executable-jar#executable-jar,the appendix>>.
 
-If you have specific build-related questions, you can check out the "`<<howto#howto, how-to>>`" guides.
+If you have specific build-related questions, see the "`<<howto#howto, how-to>>`" guides.

spring-boot-project/spring-boot-docs/src/docs/asciidoc/deployment/whats-next.adoc

@@ -1,6 +1,6 @@
 [[deployment.whats-next]]
 == What to Read Next
-Check out the https://www.cloudfoundry.org/[Cloud Foundry], https://www.heroku.com/[Heroku], https://www.openshift.com[OpenShift], and https://boxfuse.com[Boxfuse] web sites for more information about the kinds of features that a PaaS can offer.
+See the https://www.cloudfoundry.org/[Cloud Foundry], https://www.heroku.com/[Heroku], https://www.openshift.com[OpenShift], and https://boxfuse.com[Boxfuse] web sites for more information about the kinds of features that a PaaS can offer.
 These are just four of the most popular Java PaaS providers.
 Since Spring Boot is so amenable to cloud-based deployment, you can freely consider other providers as well.
 

spring-boot-project/spring-boot-docs/src/docs/asciidoc/documentation/io.adoc

@@ -1,11 +1,11 @@
 [[documentation.io]]
 == IO
-If your application needs IO capabilities, check out this section:
+If your application needs IO capabilities, see one or more of the following sections:
 
 * *Caching:* <<io#io.caching, Caching support EhCache, Hazelcast, Infinispan and more>>
 * *Quartz:* <<io#io.quartz, Quartz Scheduling>>
 * *Mail:* <<io#io.email, Sending Email>>
 * *Validation:* <<io#io.validation, JSR-303 Validation>>
 * *REST Clients:* <<io#io.rest-client, Calling REST Services with RestTemplate and WebClient>>
 * *Webservices:* <<io#io.webservices, Auto-configuration for Spring Web Services>>
-* *JTA:* <<io#io.jta, Distributed Transactions with JTA>>
+* *JTA:* <<io#io.jta, Distributed Transactions with JTA>>

spring-boot-project/spring-boot-docs/src/docs/asciidoc/documentation/messaging.adoc

@@ -1,6 +1,6 @@
 [[documentation.messaging]]
 == Messaging
-If your application uses any messaging protocol, check out this section:
+If your application uses any messaging protocol, see one or more of the following sections:
 
 * *JMS:* <<messaging#messaging.jms, Auto-configuration for ActiveMQ and Artemis, Sending and Receiving messages through JMS>>
 * *AMQP:* <<messaging#messaging.amqp, Auto-configuration for RabbitMQ>>

spring-boot-project/spring-boot-docs/src/docs/asciidoc/features/whats-next.adoc

@@ -1,6 +1,6 @@
 [[features.whats-next]]
 == What to Read Next
-If you want to learn more about any of the classes discussed in this section, you can check out the {spring-boot-api}/[Spring Boot API documentation] or you can browse the {spring-boot-code}[source code directly].
-If you have specific questions, take a look at the <<howto#howto, how-to>> section.
+If you want to learn more about any of the classes discussed in this section, see the {spring-boot-api}/[Spring Boot API documentation] or you can browse the {spring-boot-code}[source code directly].
+If you have specific questions, see the <<howto#howto, how-to>> section.
 
 If you are comfortable with Spring Boot's core features, you can continue on and read about <<actuator#actuator, production-ready features>>.

spring-boot-project/spring-boot-docs/src/docs/asciidoc/getting-started/whats-next.adoc

@@ -1,7 +1,7 @@
 [[getting-started.whats-next]]
 == What to Read Next
 Hopefully, this section provided some of the Spring Boot basics and got you on your way to writing your own applications.
-If you are a task-oriented type of developer, you might want to jump over to https://spring.io and check out some of the https://spring.io/guides/[getting started] guides that solve specific "`How do I do that with Spring?`" problems.
+If you are a task-oriented type of developer, you might want to jump over to https://spring.io and follow some of the https://spring.io/guides/[getting started] guides that solve specific "`How do I do that with Spring?`" problems.
 We also have Spring Boot-specific "`<<howto#howto, How-to>>`" reference documentation.
 
 Otherwise, the next logical step is to read _<<using#using>>_.

spring-boot-project/spring-boot-docs/src/docs/asciidoc/howto.adoc

@@ -7,7 +7,7 @@ include::attributes.adoc[]
 This section provides answers to some common '`how do I do that...`' questions that often arise when using Spring Boot.
 Its coverage is not exhaustive, but it does cover quite a lot.
 
-If you have a specific problem that we do not cover here, you might want to check out https://stackoverflow.com/tags/spring-boot[stackoverflow.com] to see if someone has already provided an answer.
+If you have a specific problem that we do not cover here, you might want to check https://stackoverflow.com/tags/spring-boot[stackoverflow.com] to see if someone has already provided an answer.
 This is also a great place to ask new questions (please use the `spring-boot` tag).
 
 We are also more than happy to extend this section.

spring-boot-project/spring-boot-docs/src/docs/asciidoc/messaging/rsocket.adoc

@@ -18,7 +18,7 @@ By default, the auto-configuration will try to configure the following (in order
 . JSON codecs with Jackson
 
 The `spring-boot-starter-rsocket` starter provides both dependencies.
-Check out the <<features#features.json.jackson,Jackson support section>> to know more about customization possibilities.
+See the <<features#features.json.jackson,Jackson support section>> to know more about customization possibilities.
 
 Developers can customize the `RSocketStrategies` component by creating beans that implement the `RSocketStrategiesCustomizer` interface.
 Note that their `@Order` is important, as it determines the order of codecs.

spring-boot-project/spring-boot-docs/src/docs/asciidoc/web/servlet.adoc

@@ -280,7 +280,7 @@ Spring Boot now provides a configuration property to choose and opt in the new s
 	      matching-strategy: "path-pattern-parser"
 ----
 
-For more details on why you should consider this new implementation, please check out the
+For more details on why you should consider this new implementation, see the
 https://spring.io/blog/2020/06/30/url-matching-with-pathpattern-in-spring-mvc[dedicated blog post].
 
 NOTE: `PathPatternParser` is an optimized implementation but restricts usage of
@@ -666,5 +666,3 @@ JSPs are not supported when using an executable jar.
 
 * Creating a custom `error.jsp` page does not override the default view for <<web#web.servlet.spring-mvc.error-handling,error handling>>.
   <<web#web.servlet.spring-mvc.error-handling.error-pages,Custom error pages>> should be used instead.
-
-