GO:0061898:   all-trans retinoic acid 3,4-desaturase activity
Catalysis of the reaction: all-trans-retinoic acid + 2 H(+) + O2 + 2 reduced [adrenodoxin] = all-trans-3,4-didehydro retinoic acid + 2 H2O + 2 oxidized [adrenodoxin].