How to redirect visitors from html page to aspx?

Question

htaccess

The databases of different search engines included site pages of the form page1.aspx.html
and page1.aspx . Pages ending in .html no longer physically exist and everyone needs to be redirected from *.aspx.html to *.aspx

Public code, does not help (it only cuts for pages like page.html -> page )
RewriteEngine on
RewriteBase /
RewriteCond %{ THE_REQUEST} ^[AZ]{3,9}\ /([^.]+)\.html\ HTTP
RewriteRule ^([^.]+)\.html$ yukimori.ru/$1 [R=301,L]
RewriteCond %{REQUEST_URI} !(\.[^./]+)$
RewriteCond %{REQUEST_fileNAME} !-d
RewriteCond %{REQUEST_fileNAME} !-f
RewriteRule (.*) /$1.html [L]

Help how to do it.