Statement 1 - If there are 'm' holes and 'n' pigeon's AND n>m then there is at least one hole with >1 pigeon

Statement 2 - If there are 'm' holes and 'n' pigeon's AND n<m then there is at least one hole with 0 pigeon

Are the above two statements equivalent?

Sorry if this question is trivial but I'm just not able to put the two concepts together.