Definition of rely :
To rest with confidence, as when fully satisfied of the veracity, integrity, or ability of persons, or of the certainty of facts or of evidence; to have confidence; to trust; to depend; - with on, formerly also with in.
hope (part of speech: verb)
- In her present situation, the maid was the one friend on whom she could rely. - "Blind Love", Wilkie Collins.
- All I could do was hope for the best and rely on my ability to catch up if I should have to fall behind. - "Land of the Burnt Thigh", Edith Eudora Kohl.
- You may therefore rely upon me. - "Pamela Giraud", Honore de Balzac.