1 INTRODUCTION  
2 DATA  
2.1 REBELS  
2.2 Stellar Masses  
3 ANALYSIS  
3.1 Stacking  
3.2 Infrared Luminosities and SFRs  
3.3 Starburst Identification  
3.4 The Obscured Cosmic Star Formation Rate Density  
4 THE FRACTION OF OBSCURED STAR FORMATION  
4.1 Obscuration across the full REBELS sample  
4.2 The dust-detected versus undetected population  
5 THE OBSCURED COSMIC STAR FORMATION RATE DENSITY  
5.1 A Lower Limit on the $z\sim7$ Obscured SFRD  
5.2 The Full $z\sim7$ Obscured SFRD from REBELS  
5.3 Comparison to the Literature  
5.4 Caveats  
6 SUMMARY