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i already have 2 ways using 2 theorems to prove that a sphere is an embedded submanifold.

i just want to check if i can prove it using this specific theorem:

let M and N be manifolds

if \phi : M --> N is an embedding, then \phi (M) is an embedded submanifold.

because i am having trouble finding this \phi.

thank you.

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# Sphere as an embedded submanifold

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