This was what worked, after some trial and error:
# Make all http use https and force non-www
<IfModule mod_rewrite.c>
RewriteCond %{HTTP_HOST} ^www\.
RewriteRule ^(.*)$ https://mysite.ca%{REQUEST_URI} [L,R=301]
RewriteCond %{HTTPS} off
RewriteRule ^(.*)$ https://%{HTTP_HOST}%{REQUEST_URI} [R=301,L]
</IfModule>
Sorry for not coming back to post this sooner, I'm learning...