If you look at the way the different layers of the atmosphere are changing in temperature there's pretty good evidence. What we're seeing is that while the lowermost layer of the atmosphere warming while the upper layers are cooling. This is consistent with a greenhouse effect because infrared radiation being emitted by the Earths' surface is trapped by the greenhouse gas in the lower atmosphere warming it meanwhile, said radiation doesn't make it to the upper atmosphere thus cooling it.
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That's assuming the temperature would increase in the first place.
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