According to tradition, they founded Tenochtitlan ( "Place of the High Priest Tenoch" ) after much wandering when they saw on an island in Lake Texcoco the sign that their god Huitzilopochtli had indicated -- an eagle perched on a cactus, eating a serpent .
Does this next sentence follow, given the preceding text?
They saw an eagle perched on a cactus eating a serpent.
yes