The spelling of the phrase "put the proof" is straightforward. "Put" is spelled with the letters p, u, and t, while "the" is spelled t, h, and e. "Proof" is spelled with the letters p, r, o, o, and f. In International Phonetic Alphabet (IPA) notation, "put" is written as /pʊt/, "the" as /ðə/, and "proof" as /pruːf/. The emphasis is on the first syllable of "put" and the second syllable of "proof." Overall, the spelling of "put the proof" is easy to remember and pronounce.