Yes, Sleep Cycle fully supports Apple Health App. Sleep Cycle will ask you for permission to sync with the Health App after your 15th night. If you have problem to get it to work, follow the steps below.
Go to Health > Source > Sleep Cycle > Allow Sleep Cycle to read data
Also, go to Sleep Cycle > Settings > Advanced > Apple Health > Connect.
This feature is yet not available for Android users, but we are currently working on this!
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