I believe they are claiming that when minimum wage goes up even people who make above that get a cost of living bump. Therefore the fact that minimum hasn't mo

I believe they are claiming that when minimum wage goes up even people who make above that get a cost of living bump. Therefore the fact that minimum hasn't moved means the whole stack above it hasn't moved. I know this is true for my mother. She has maxed out the pay scale at her current employer\position. The only way she will get a raise is if she changes employers or there is a change in minimum wage in which case her current employer will bump the scale by the same amount as a cost of living adjustment.