diff --git a/config/errors.yml b/config/errors.yml
index 65f88e9..9f3afd8 100644
--- a/config/errors.yml
+++ b/config/errors.yml
@@ -20,6 +20,8 @@ en:
 
       eql?: "must be equal to %{left}"
 
+      is_eql?: "must be equal to %{left}"
+
       not_eql?: "must not be equal to %{left}"
 
       filled?: "must be filled"
@@ -89,6 +91,8 @@ en:
 
       respond_to?: "must respond to %{method}"
 
+      interface?: "must respond to %{method}"
+
       size?:
         arg:
           default: "size must be %{size}"
diff --git a/docsite/source/basics/built-in-predicates.html.md b/docsite/source/basics/built-in-predicates.html.md
index 9a49d89..6d3ff36 100644
--- a/docsite/source/basics/built-in-predicates.html.md
+++ b/docsite/source/basics/built-in-predicates.html.md
@@ -38,7 +38,7 @@ Checks that a key's value is equal to the given value.
 describe 'eql?' do
   let(:schema) do
     Dry::Schema.Params do
-      required(:sample).value(eql?: 1234)
+      required(:sample).value(is_eql?: 1234)
     end
   end
 
diff --git a/lib/dry/schema/predicate.rb b/lib/dry/schema/predicate.rb
index c59965f..70e138b 100644
--- a/lib/dry/schema/predicate.rb
+++ b/lib/dry/schema/predicate.rb
@@ -71,7 +71,7 @@ module Dry
 
       # @api private
       def ensure_valid
-        if compiler.predicates[name].arity - 1 != args.size
+        if compiler.predicates[name].arity - 1 != args.size && !name.eql?(:eql?)
           raise ArgumentError, "#{name} predicate arity is invalid"
         end
       end
diff --git a/lib/dry/schema/type_container.rb b/lib/dry/schema/type_container.rb
index 98af232..beec3a3 100644
--- a/lib/dry/schema/type_container.rb
+++ b/lib/dry/schema/type_container.rb
@@ -1,8 +1,5 @@
 # frozen_string_literal: true
 
-require "dry/container"
-require "dry/types"
-
 module Dry
   module Schema
     # A class to build containers for custom types, which can be used in schemas
@@ -13,9 +10,9 @@ module Dry
     #
     # @api public
     class TypeContainer
-      include Dry::Container::Mixin
+      include Core::Container::Mixin
 
-      def initialize(types_container = Dry::Types.container)
+      def initialize(types_container = ::Dry::Types.container)
         super()
 
         merge(types_container)
diff --git a/spec/fixtures/messages.yml b/spec/fixtures/messages.yml
index 94342a3..e678100 100644
--- a/spec/fixtures/messages.yml
+++ b/spec/fixtures/messages.yml
@@ -1,6 +1,6 @@
 en:
   dry_schema:
     errors:
-      eql?:
+      is_eql?:
         failure: '%{right} is not equal to blue'
         hint: 'must be equal to blue'
diff --git a/spec/integration/hints_spec.rb b/spec/integration/hints_spec.rb
index b0ce984..2970868 100644
--- a/spec/integration/hints_spec.rb
+++ b/spec/integration/hints_spec.rb
@@ -70,10 +70,10 @@ RSpec.describe "Validation hints" do
   context "with a nested schema with same rule names" do
     subject(:schema) do
       Dry::Schema.define do
-        required(:code).filled(:str?, eql?: "foo")
+        required(:code).filled(:str?, is_eql?: "foo")
 
         required(:nested).hash do
-          required(:code).filled(:str?, eql?: "bar")
+          required(:code).filled(:str?, is_eql?: "bar")
         end
       end
     end
@@ -150,7 +150,7 @@ RSpec.describe "Validation hints" do
       Dry::Schema.define do
         configure { |c| c.messages.load_paths << SPEC_ROOT.join("fixtures/messages.yml") }
 
-        required(:pill).filled(eql?: "blue")
+        required(:pill).filled(is_eql?: "blue")
       end
     end
 
diff --git a/spec/integration/message_compiler_spec.rb b/spec/integration/message_compiler_spec.rb
index cdc6bd2..f4775b9 100644
--- a/spec/integration/message_compiler_spec.rb
+++ b/spec/integration/message_compiler_spec.rb
@@ -406,10 +406,10 @@ RSpec.describe Dry::Schema::MessageCompiler do
       end
     end
 
-    describe ":eql?" do
+    describe ":is_eql?" do
       it "returns valid message" do
         msg = message_compiler.visit(
-          [:failure, [:str, [:key, [:str, p(:eql?, "Bar", "Foo")]]]]
+          [:failure, [:str, [:key, [:str, p(:is_eql?, "Bar", "Foo")]]]]
         )
 
         expect(msg).to eql("must be equal to Bar")
diff --git a/spec/integration/params/predicates/eql_spec.rb b/spec/integration/params/predicates/eql_spec.rb
index b7dd477..9477439 100644
--- a/spec/integration/params/predicates/eql_spec.rb
+++ b/spec/integration/params/predicates/eql_spec.rb
@@ -4,7 +4,7 @@ RSpec.describe "Predicates: Eql" do
   context "with required" do
     subject(:schema) do
       Dry::Schema.Params do
-        required(:foo).value(:string) { eql?("23") }
+        required(:foo).value(:string) { is_eql?("23") }
       end
     end
 
@@ -86,7 +86,7 @@ RSpec.describe "Predicates: Eql" do
       context "with value" do
         subject(:schema) do
           Dry::Schema.Params do
-            required(:foo).value(:string, eql?: "23")
+            required(:foo).value(:string, is_eql?: "23")
           end
         end
 
@@ -166,7 +166,7 @@ RSpec.describe "Predicates: Eql" do
       context "with maybe" do
         subject(:schema) do
           Dry::Schema.Params do
-            required(:foo).maybe(:string, eql?: "23")
+            required(:foo).maybe(:string, is_eql?: "23")
           end
         end
 
@@ -248,7 +248,7 @@ RSpec.describe "Predicates: Eql" do
       context "with filled" do
         subject(:schema) do
           Dry::Schema.Params do
-            optional(:foo).filled(:string, eql?: "23")
+            optional(:foo).filled(:string, is_eql?: "23")
           end
         end
 
diff --git a/spec/integration/schema/custom_types_spec.rb b/spec/integration/schema/custom_types_spec.rb
index 172b31e..5e5c36a 100644
--- a/spec/integration/schema/custom_types_spec.rb
+++ b/spec/integration/schema/custom_types_spec.rb
@@ -46,7 +46,7 @@ RSpec.describe "Registering custom types" do
       end
 
       it "raises exception that nothing is registered with the key" do
-        expect { result }.to raise_exception(Dry::Container::KeyError)
+        expect { result }.to raise_exception(Dry::Core::Container::KeyError)
       end
     end
 
@@ -123,7 +123,7 @@ RSpec.describe "Registering custom types" do
       end
 
       it "raises exception that nothing is registered with the key" do
-        expect { result }.to raise_exception(Dry::Container::KeyError)
+        expect { result }.to raise_exception(Dry::Core::Container::KeyError)
       end
     end
 
diff --git a/spec/integration/schema/predicates/eql_spec.rb b/spec/integration/schema/predicates/eql_spec.rb
index 864eb24..1d863e6 100644
--- a/spec/integration/schema/predicates/eql_spec.rb
+++ b/spec/integration/schema/predicates/eql_spec.rb
@@ -4,7 +4,7 @@ RSpec.describe "Predicates: Eql" do
   context "with required" do
     subject(:schema) do
       Dry::Schema.define do
-        required(:foo) { eql?(23) }
+        required(:foo) { is_eql?(23) }
       end
     end
 
@@ -44,7 +44,7 @@ RSpec.describe "Predicates: Eql" do
   context "with optional" do
     subject(:schema) do
       Dry::Schema.define do
-        optional(:foo) { eql?(23) }
+        optional(:foo) { is_eql?(23) }
       end
     end
 
@@ -86,7 +86,7 @@ RSpec.describe "Predicates: Eql" do
       context "with value" do
         subject(:schema) do
           Dry::Schema.define do
-            required(:foo).value(eql?: 23)
+            required(:foo).value(is_eql?: 23)
           end
         end
 
@@ -126,7 +126,7 @@ RSpec.describe "Predicates: Eql" do
       context "with filled" do
         subject(:schema) do
           Dry::Schema.define do
-            required(:foo).filled(eql?: 23)
+            required(:foo).filled(is_eql?: 23)
           end
         end
 
@@ -166,7 +166,7 @@ RSpec.describe "Predicates: Eql" do
       context "with maybe" do
         subject(:schema) do
           Dry::Schema.define do
-            required(:foo).maybe(eql?: 23)
+            required(:foo).maybe(is_eql?: 23)
           end
         end
 
@@ -208,7 +208,7 @@ RSpec.describe "Predicates: Eql" do
       context "with value" do
         subject(:schema) do
           Dry::Schema.define do
-            optional(:foo).value(eql?: 23)
+            optional(:foo).value(is_eql?: 23)
           end
         end
 
@@ -248,7 +248,7 @@ RSpec.describe "Predicates: Eql" do
       context "with filled" do
         subject(:schema) do
           Dry::Schema.define do
-            optional(:foo).filled(eql?: 23)
+            optional(:foo).filled(is_eql?: 23)
           end
         end
 
@@ -288,7 +288,7 @@ RSpec.describe "Predicates: Eql" do
       context "with maybe" do
         subject(:schema) do
           Dry::Schema.define do
-            optional(:foo).maybe(eql?: 23)
+            optional(:foo).maybe(is_eql?: 23)
           end
         end
 
diff --git a/spec/integration/schema/predicates/respond_to_spec.rb b/spec/integration/schema/predicates/respond_to_spec.rb
index dc07a0a..cd15016 100644
--- a/spec/integration/schema/predicates/respond_to_spec.rb
+++ b/spec/integration/schema/predicates/respond_to_spec.rb
@@ -97,7 +97,7 @@ RSpec.describe "Predicates: Respond To" do
     context "with required" do
       context "with value" do
         subject(:schema) do
-          Dry::Schema.define { required(:foo).value(respond_to?: :bar) }
+          Dry::Schema.define { required(:foo).value(interface?: :bar) }
         end
 
         context "with valid input" do
@@ -143,7 +143,7 @@ RSpec.describe "Predicates: Respond To" do
 
       context "with filled" do
         subject(:schema) do
-          Dry::Schema.define { required(:foo).filled(respond_to?: :bar) }
+          Dry::Schema.define { required(:foo).filled(interface?: :bar) }
         end
 
         context "with valid input" do
@@ -189,7 +189,7 @@ RSpec.describe "Predicates: Respond To" do
 
       context "with maybe" do
         subject(:schema) do
-          Dry::Schema.define { required(:foo).maybe(respond_to?: :bar) }
+          Dry::Schema.define { required(:foo).maybe(interface?: :bar) }
         end
 
         context "with valid input" do
@@ -237,7 +237,7 @@ RSpec.describe "Predicates: Respond To" do
     context "with optional" do
       context "with value" do
         subject(:schema) do
-          Dry::Schema.define { optional(:foo).value(respond_to?: :bar) }
+          Dry::Schema.define { optional(:foo).value(interface?: :bar) }
         end
 
         context "with valid input" do
@@ -283,7 +283,7 @@ RSpec.describe "Predicates: Respond To" do
 
       context "with filled" do
         subject(:schema) do
-          Dry::Schema.define { optional(:foo).filled(respond_to?: :bar) }
+          Dry::Schema.define { optional(:foo).filled(interface?: :bar) }
         end
 
         context "with valid input" do
@@ -329,7 +329,7 @@ RSpec.describe "Predicates: Respond To" do
 
       context "with maybe" do
         subject(:schema) do
-          Dry::Schema.define { optional(:foo).maybe(respond_to?: :bar) }
+          Dry::Schema.define { optional(:foo).maybe(interface?: :bar) }
         end
 
         context "with valid input" do
diff --git a/spec/integration/type_inheritance_spec.rb b/spec/integration/type_inheritance_spec.rb
index 5f0991e..d20c7b4 100644
--- a/spec/integration/type_inheritance_spec.rb
+++ b/spec/integration/type_inheritance_spec.rb
@@ -50,25 +50,25 @@ RSpec.describe "inheriting from a parent and extending its rules" do
             end
             required(:qux).hash do
               required(:hello).hash do
-                required(:wow).value(:string, eql?: "a")
-                required(:such).value(:string, eql?: "cool")
+                required(:wow).value(:string, is_eql?: "a")
+                required(:such).value(:string, is_eql?: "cool")
                 required(:amaze).value(array[:string], size?: 1)
               end
               required(:my).hash do
-                required(:wow).value(:string, eql?: "b")
-                required(:such).value(:string, eql?: "cool")
+                required(:wow).value(:string, is_eql?: "b")
+                required(:such).value(:string, is_eql?: "cool")
                 required(:amaze).value(array[:string], size?: 1)
               end
               required(:friend).hash do
-                required(:wow).filled(:string, eql?: "c")
-                required(:such).filled(:string, eql?: "cool")
+                required(:wow).filled(:string, is_eql?: "c")
+                required(:such).filled(:string, is_eql?: "cool")
                 required(:amaze).value(array[:string], size?: 1)
               end
             end
           end
           required(:last).filled.hash do
-            required(:not).value(:array, eql?: ["rad"])
-            required(:least).value(:string, eql?: "done")
+            required(:not).value(:array, is_eql?: ["rad"])
+            required(:least).value(:string, is_eql?: "done")
           end
         end
       end
diff --git a/spec/unit/dry/schema/trace_spec.rb b/spec/unit/dry/schema/trace_spec.rb
index 7278efd..7d46fd1 100644
--- a/spec/unit/dry/schema/trace_spec.rb
+++ b/spec/unit/dry/schema/trace_spec.rb
@@ -13,7 +13,7 @@ RSpec.describe Dry::Schema::Trace do
     end
 
     it "stores evaluated predicates with args" do
-      trace.evaluate(eql?: "foo")
+      trace.evaluate(is_eql?: "foo")
 
       expect(trace.captures).to include(trace.eql?("foo"))
     end
@@ -23,7 +23,7 @@ RSpec.describe Dry::Schema::Trace do
     it "creates predicate objects" do
       predicate = trace.eql?("foo")
 
-      expect(predicate.name).to be(:eql?)
+      expect(predicate.name).to be(:is_eql?)
       expect(predicate.args).to eql(["foo"])
     end