My understanding is that the rock on which the GC movement has built its church is that gender is a social construct, so it is impossible for someone to feel that their sex does not match their anatomy. How would I know I'm a "woman" if there are no non-anatomical differences between the sexes? The very existence of trans people disproves the GC foundational belief. Therefore, there can be no trans people. Q.E.D.

Do I have that wrong?