[moobear]

Does a HDMI connection provide both audio and video?

[blackbox_ns]

yes it does. here is an excerpt from WIki of hdmi
HDMI supports up to 8 channels of audio at sample sizes of 16-bit, 20-bit, and 24-bit with sample rates of 32 kHz, 44.1 kHz, 48 kHz, 88.2 kHz, 96 kHz, 176.4 kHz, and 192 kHz. HDMI also supports any IEC61937-compliant audio stream compressed audio streams such as Dolby Digital and DTS and up to 8 channels of one-bit DSD audio, which is used on Super Audio CDs, at rates up to 4x that of Super Audio CD.[18] With version 1.3, HDMI supports lossless compressed audio streams Dolby TrueHD and DTS-HD Master Audio