Xiaomi is now well underway with its MIUI 12.5 global rollout, having rolled out the new OS to four more devices last week. Now, MIUI 12.5 has landed on the Mi 10 Lite and Mi Note 10 Lite, albeit in slightly different forms.
According to Xiaomi Firmware Updater, V12.5.1.0.RJIMIXM has reached stable status for the Mi 10 Lite. This should mean that the update is rolling out as an OTA to all devices enrolled on MIUI's global branch.
You can check which branch your device is on by heading to About Phone and reading its current software build number. If it contains 'MIXM', then your device has been enrolled on the global branch.
By contrast, V12.5.1.0.RFNMIXM is at Stable Beta status for the Mi Note 10 Lite. Theoretically, this should mean that Xiaomi has started issuing the OS upgrade to a few randomly selected devices before starting a broader rollout. You can find the download links for both builds in the links below.