A sequentially complete inductive limit of Frechet spaces is regular, see [3]. With a minor modification, this property can be extended to inductive limits of arbitrary locally convex spaces under an additional assumption of conservativeness.
SIEGEL, D. (1998). WEAK REGULARITY OF PROBABILITY MEASURES. International Journal of Mathematics and Mathematical Sciences, 1998(), 723-728. https://doi.org/10.1155/S0161171298001008
吳東穎(2010)。A Study Of Legal Indeterminacy〔碩士論文,國立臺北大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0023-2007201017395000
KIM, W. K., & LEE, K. H. (2005). ON A CONTINUOUS MAJORITY RULE. International Journal of Mathematics and Mathematical Sciences, 2005(), 2555-2563-204. https://doi.org/10.1155/IJMMS.2005.2555
yu, C. C. (1979). ON PREDICATIVE COMPLEMENTS. Journal of Chinese Linguistics, 7(1), 44-64. https://www.airitilibrary.com/Article/Detail?DocID=P20181204001-197901-201904110014-201904110014-44-64