ðɪs pˈaʊɚfəl stˈeɪtmənt ɪz ɐ dʒˌɛnɚɹəlᵻzˈeɪʃən ʌvðə ɡɹˈeɪdiənt θˈiəɹəm fɹʌm wˈʌnfˈɔːɹmz dᵻfˈaɪnd ˌɔn wˈʌndᵻmˈɛnʃənəl mˈænɪfˌoʊldz tə dˌɪfɚɹˈɛnʃəl fˈɔːɹmz dᵻfˈaɪnd ˌɔn mˈænɪfˌoʊldz ʌv ˈɑːɹbɪtɹˌɛɹi dᵻmˈɛnʃən.
This powerful statement is a generalization of the gradient theorem from 1-forms defined on one-dimensional manifolds to differential forms defined on manifolds of arbitrary dimension.