diff --git a/pandas/_typing.py b/pandas/_typing.py
index 09c490e64957d..924fc323584b0 100644
--- a/pandas/_typing.py
+++ b/pandas/_typing.py
@@ -146,5 +146,12 @@
 CompressionOptions = Optional[Union[str, CompressionDict]]
 
 
-# type of float formatter in DataFrameFormatter
+# types in DataFrameFormatter
+FormattersType = Union[
+    List[Callable], Tuple[Callable, ...], Mapping[Union[str, int], Callable]
+]
+ColspaceType = Mapping[Label, Union[str, int]]
 FloatFormatType = Union[str, Callable, "EngFormatter"]
+ColspaceArgType = Union[
+    str, int, Sequence[Union[str, int]], Mapping[Label, Union[str, int]]
+]
diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index 0dff1305357b2..d698edbb0b8ad 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -51,9 +51,12 @@
     ArrayLike,
     Axes,
     Axis,
+    ColspaceArgType,
     CompressionOptions,
     Dtype,
     FilePathOrBuffer,
+    FloatFormatType,
+    FormattersType,
     FrameOrSeriesUnion,
     IndexKeyFunc,
     Label,
@@ -1612,11 +1615,11 @@ def to_gbq(
         self,
         destination_table: str,
         project_id: Optional[str] = None,
-        chunksize=None,
+        chunksize: Optional[int] = None,
         reauth: bool = False,
         if_exists: str = "fail",
         auth_local_webserver: bool = False,
-        table_schema=None,
+        table_schema: Optional[List[Dict[str, str]]] = None,
         location: Optional[str] = None,
         progress_bar: bool = True,
         credentials=None,
@@ -2474,29 +2477,29 @@ def to_parquet(
     @Substitution(shared_params=fmt.common_docstring, returns=fmt.return_docstring)
     def to_html(
         self,
-        buf=None,
-        columns=None,
-        col_space=None,
-        header=True,
-        index=True,
-        na_rep="NaN",
-        formatters=None,
-        float_format=None,
-        sparsify=None,
-        index_names=True,
-        justify=None,
-        max_rows=None,
-        max_cols=None,
-        show_dimensions=False,
+        buf: Optional[FilePathOrBuffer[str]] = None,
+        columns: Optional[Sequence[str]] = None,
+        col_space: Optional[ColspaceArgType] = None,
+        header: Union[bool, Sequence[str]] = True,
+        index: bool = True,
+        na_rep: str = "NaN",
+        formatters: Optional[FormattersType] = None,
+        float_format: Optional[FloatFormatType] = None,
+        sparsify: Optional[bool] = None,
+        index_names: bool = True,
+        justify: Optional[str] = None,
+        max_rows: Optional[int] = None,
+        max_cols: Optional[int] = None,
+        show_dimensions: Union[bool, str] = False,
         decimal: str = ".",
-        bold_rows=True,
-        classes=None,
-        escape=True,
-        notebook=False,
-        border=None,
-        table_id=None,
-        render_links=False,
-        encoding=None,
+        bold_rows: bool = True,
+        classes: Optional[Union[str, List, Tuple]] = None,
+        escape: bool = True,
+        notebook: bool = False,
+        border: Optional[int] = None,
+        table_id: Optional[str] = None,
+        render_links: bool = False,
+        encoding: Optional[str] = None,
     ):
         """
         Render a DataFrame as an HTML table.
diff --git a/pandas/io/formats/format.py b/pandas/io/formats/format.py
index db34b882a3c35..527ee51873631 100644
--- a/pandas/io/formats/format.py
+++ b/pandas/io/formats/format.py
@@ -39,9 +39,12 @@
 from pandas._libs.tslibs.nattype import NaTType
 from pandas._typing import (
     ArrayLike,
+    ColspaceArgType,
+    ColspaceType,
     CompressionOptions,
     FilePathOrBuffer,
     FloatFormatType,
+    FormattersType,
     IndexLabel,
     Label,
     StorageOptions,
@@ -81,14 +84,6 @@
     from pandas import Categorical, DataFrame, Series
 
 
-FormattersType = Union[
-    List[Callable], Tuple[Callable, ...], Mapping[Union[str, int], Callable]
-]
-ColspaceType = Mapping[Label, Union[str, int]]
-ColspaceArgType = Union[
-    str, int, Sequence[Union[str, int]], Mapping[Label, Union[str, int]]
-]
-
 common_docstring = """
         Parameters
         ----------