In this paper we present a simple and self contained proof of the great Picard Theorem based on certain Harnack-type inequalities due to J. Lewis.
"A proof of the Great Picard Theorem." Bull. Belg. Math. Soc. Simon Stevin 11 (2) 271 - 280, June 2004. https://doi.org/10.36045/bbms/1086969317