O-minimality of R_an,exp,φ reduces to the existence of many regular values for definable function systems, a necessary condition.
[Kho91] Askold G Khovanskii
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Towards Trans-Exponential O-minimal Expansion of $(\mathbb{R},+,\cdot, 0, 1 <)$
O-minimality of R_an,exp,φ reduces to the existence of many regular values for definable function systems, a necessary condition.