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changed 8.2 to 2.8
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Theorem 82.28 on p. 30 of Models for smooth infinitesimal analysis by Moerdijk and Reyes. The theorem works with $C^\infty$ rings, which are a bit more general than algebras of functions. The advantage is that the proof is short.

Theorem 8.2 on p. 30 of Models for smooth infinitesimal analysis by Moerdijk and Reyes. The theorem works with $C^\infty$ rings, which are a bit more general than algebras of functions. The advantage is that the proof is short.

Theorem 2.8 on p. 30 of Models for smooth infinitesimal analysis by Moerdijk and Reyes. The theorem works with $C^\infty$ rings, which are a bit more general than algebras of functions. The advantage is that the proof is short.

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Eugene Lerman
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Theorem 8.2 on p. 30 of Models for smooth infinitesimal analysis by Moerdijk and Reyes. The theorem works with $C^\infty$ rings, which are a bit more general than algebras of functions. The advantage is that the proof is short.