diff --git a/Cython.spec b/Cython.spec
index 60b8eeb..34c6a14 100644
--- a/Cython.spec
+++ b/Cython.spec
@@ -57,13 +57,14 @@ libraries, and for fast C modules that speed up the execution of Python code.}
 %description %{_description}
 
 
-%package -n python3-Cython
+%package -n python3-cython
 Summary:        %{summary}
 Provides:       Cython = %{?epoch:%{epoch}:}%{version}-%{release}
 Provides:       Cython%{?_isa} = %{?epoch:%{epoch}:}%{version}-%{release}
 Provides:       cython = %{?epoch:%{epoch}:}%{version}-%{release}
 Provides:       cython%{?_isa} = %{?epoch:%{epoch}:}%{version}-%{release}
-%py_provides    python3-cython
+%py_provides    python3-Cython
+Obsoletes:      python3-Cython < 3~~
 
 # A small templating library is bundled in Cython/Tempita
 # Upstream version 0.5.2 is available from https://pypi.org/project/Tempita
@@ -71,7 +72,7 @@ Provides:       cython%{?_isa} = %{?epoch:%{epoch}:}%{version}-%{release}
 # Upstream homepage is inaccessible.
 Provides:       bundled(python3dist(tempita))
 
-%description -n python3-Cython %{_description}
+%description -n python3-cython %{_description}
 
 
 %prep
@@ -98,7 +99,7 @@ Provides:       bundled(python3dist(tempita))
 %endif
 
 
-%files -n python3-Cython
+%files -n python3-cython
 %license LICENSE.txt
 %doc *.txt Demos Doc Tools
 %{_bindir}/cython
@@ -113,6 +114,7 @@ Provides:       bundled(python3dist(tempita))
 %changelog
 * Mon Jul 17 2023 Miro Hrončok <mhroncok@redhat.com> - 3.0.0-1
 - Update to 3.0.0
+- Rename python3-Cython to python3-cython
 
 * Thu Jul 13 2023 Tomáš Hrnčiar <thrnciar@redhat.com> - 3.0.0~rc2-1
 - Update to 3.0.0rc2