User blog comment:Bubby3/Notation provably equivalent to BMS pair sequences/@comment-35470197-20190530005229/@comment-24725252-20190531180403

What if I prove the termination of the equlivant notation, or prove it equlivant to another notation? What if that notation people really haven't doubted the termination or well-foundness of, like R function up to {0,{0}}. Will people start to doubt whether R function or other similar notations terminate, but they never did?