diff --git a/docsite/source/builder.html.md b/docsite/source/builder.html.md
index 2651e1a..ac2611a 100644
--- a/docsite/source/builder.html.md
+++ b/docsite/source/builder.html.md
@@ -4,13 +4,13 @@ layout: gem-single
 name: dry-logic
 ---
 
-Use Dry Logic's builder evaluate predicates and operations
+Use Dry Logic's builder to evaluate predicates and operations.
 
 ``` ruby
 require "dry/logic/builder"
 
 is_zero = Dry::Logic::Builder.call do
-  lt?(0) ^ gt?(0)
+  lteq?(0) & gteq?(0)
 end
 
 is_zero.call(0).success? # => true
diff --git a/docsite/source/operations.html.md b/docsite/source/operations.html.md
index 70ab1c0..b3a03a3 100644
--- a/docsite/source/operations.html.md
+++ b/docsite/source/operations.html.md
@@ -31,7 +31,7 @@ end
 
 is_number.call(1).success? # => true
 is_number.call(2.0).success? # => true
-is_number.call('3').success? # => false
+is_number.call('3').success? # => true
 is_number.call('four').success? # => false
 ```
 
@@ -98,9 +98,9 @@ is_middle_aged = build do
   gt?(30) & lt?(50)
 end
 
-is_child.call(20).success? # => false
-is_child.call(40).success? # => true
-is_child.call(60).success? # => true
+is_middle_aged.call(20).success? # => false
+is_middle_aged.call(40).success? # => true
+is_middle_aged.call(60).success? # => false
 ```
 
 ### Attribute (`attr`)
@@ -138,10 +138,10 @@ is_only_odd.call([4, 6, 8]).success? # => false
 
 ``` ruby
 is_natural_and_odd = build do
-  set(int?, odd?, gt?(1))
+  set { [int?, odd?, gt?(1)] }
 end
 
-is_natural_and_odd.call('5').success? # => false
+is_natural_and_odd.call('5').success? # => NoMethodError: undefined method `odd?' for "5":String
 is_natural_and_odd.call(5).success? # => true
 is_natural_and_odd.call(-1).success? # => false
 ```
@@ -152,7 +152,7 @@ is_natural_and_odd.call(-1).success? # => false
 
 ``` ruby
 is_present = build do
-  negation(empty?)
+  negation { empty? }
 end
 
 is_present.call([1]).success? # => true
@@ -166,7 +166,7 @@ is_present.call("").success? # => false
 ``` ruby
 is_named = build do
   key name: [:user, :name] do
-    str? & negation(empty?)
+    str? & negation { empty? }
   end
 end
 
diff --git a/docsite/source/predicates.html.md b/docsite/source/predicates.html.md
index 2d0cb46..264e706 100644
--- a/docsite/source/predicates.html.md
+++ b/docsite/source/predicates.html.md
@@ -14,7 +14,7 @@ Predicates can be chained together using operations such as `&` and `|` (see the
 is_https_url = build { uri?(:https) }
 is_https_url = build { uri?(/https?/) }
 is_http_url = build { uri?(:http) }
-is_url = build { uri?([:http, :https]) }
+is_url = build { uri?(['http', 'https']) }
 
 https_url = "https://example.com"
 http_url = "http://example.com"
@@ -23,7 +23,7 @@ local_url = "example.local"
 is_https_url.call(https_url).success? # => true
 is_https_url.call(local_url).success? # => false
 is_http_url.call(http_url).success? # => true
-is_url.call(https_url).success? # => false
+is_url.call(https_url).success? # => true
 ```
 
 ### UUID (`uuid_v1?`, `uuid_v2?`, `uuid_v3?`, `uuid_v4?`, `uuid_v5?`)
@@ -384,15 +384,15 @@ is_float.call(1.0).success? # => true
 is_float.call(1).success? # => false
 ```
 
-### Number (`num?`)
+### Integer (`int?`)
 
 > Returns true if the input is of type `Integer`
 
 ``` ruby
-is_num = build { num? }
+is_int = build { int? }
 
-is_num.call(1).success? # => true
-is_num.call(1.0).success? # => false
+is_int.call(1).success? # => true
+is_int.call(1.0).success? # => false
 ```
 
 ### Time (`time?`)
@@ -453,7 +453,7 @@ is_false = build { false? }
 is_true.call(true).success? # => true
 is_true.call(false).success? # => false
 is_false.call(false).success? # => true
-is_true.call(true).success? # => false
+is_false.call(true).success? # => false
 ```
 
 ### Empty (`empty?`)
@@ -540,6 +540,6 @@ is_named.call({ age: 30 }).success? # => false
 ``` ruby
 is_email_ish = build { format?(/^\S+@\S+$/) }
 
-is_email_ish.call("hello@example.com") # => true
-is_email_ish.call("nope|failed.com") # => false
+is_email_ish.call("hello@example.com").success? # => true
+is_email_ish.call("nope|failed.com").success? # => false
 ```