At a lower place can be expressed in a number of ways. If we want to denote the opposite of something that is lower, we might use words like "above," "higher," "upward," "elevated," or "on top." These antonyms all suggest a position or elevation that is above the original location, often implying an ascent or upward movement. Alternatively, we could use phrases like "at a higher altitude," "closer to the sky," or "at the peak," which specifically reference a vertical dimension. Depending on the context, other antonyms might be more appropriate, such as "level ground" for a horizontal plane or "in the sky" for a completely different plane of existence.