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. 2016 Oct 14;4(1):1234. doi: 10.13063/2327-9214.1234
E[Y|A=1] = E[Ya=1 | A=1] by consistency
E[Y|A=0, B=1] = E[Ya=0 | A=0, B=1] by consistency
= E[Ya=0 | A=1, B=1] by (i)
= E[Ya=0 | A=1, B=0] by (ii)
It follows that E[Y|A=0, B=1] = E[Ya=0 | A=1]