We introduce Hevenli, a novel large dataset for English-Vietnamese cross-lingual natural language inference learning. Different from the existing datasets which are not domain specific and diverse in style, ours is specific to healthcare domain and consists of news-style sentence pairs. Notably, our dataset is more than two times larger than the largest existing one. We conducted an exploratory analysis to examine the topics of the dataset. Also, to set the baseline results, we evaluated the state-of-the-art methods on the dataset. The obtained results show that our dataset is a challenging corpus which is potentially useful for more advanced research and developing practical applications.