In the careful language of mathematics, a proof by induction often proceeds as follows:
ɪ n ð ə WORD_BOUNDARY k ɛ ɹ f ə l WORD_BOUNDARY l æ ŋ ɡ w ɪ d̠ʒ WORD_BOUNDARY ʌ v WORD_BOUNDARY m æ θ ɪ m æ t ɪ k s WORD_BOUNDARY ʌ WORD_BOUNDARY p ɹ uː f WORD_BOUNDARY b aɪ WORD_BOUNDARY ɪ n d ʌ k ʃ ə n WORD_BOUNDARY ɔ f ə n WORD_BOUNDARY p ɹ oʊ s iː d z WORD_BOUNDARY æ z WORD_BOUNDARY f ɑ l oʊ z WORD_BOUNDARY