- #1

Mike_bb

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How to prove that in smooth infinitesimal analysis every function on R is continuous? (Every function whose domain is R, the real numbers, is continuous and infinitely differentiable.)

Thanks.

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- Thread starter Mike_bb
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- #1

Mike_bb

- 17

- 2

How to prove that in smooth infinitesimal analysis every function on R is continuous? (Every function whose domain is R, the real numbers, is continuous and infinitely differentiable.)

Thanks.

- #2

- 17,643

- 18,284

Smooth is another word for infinitely differentiable, and differentiable implies continuity.

How to prove that in smooth infinitesimal analysis every function on R is continuous? (Every function whose domain is R, the real numbers, is continuous and infinitely differentiable.)

Thanks.

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