Well, according to the original design specification for the 4G name, the standard had to support a certain throughput in rest (I believe it was 1Gbps) and a certain throughput while moving at a certain speed (something like 100mbps at 100km/h). LTE failed to reach the 1gbps threshold but managed to get the high speed while moving so it was basically declared "4G enough" and people just accepted LTE as 4G. This is why the ITU now has definitions for 4G (LTE at the moment it started being marketed as 4G) and "True 4G" (4G technologies that actually pass the requirements for 4G such as LTE advanced, which AT&T now markets as "5G E" because screw consumers I suppose)
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