Two vectors u,v ∈ V are said to be orthogonal if <u,v> = 0.(adsbygoogle = window.adsbygoogle || []).push({});

Given the following statement: Two vectors u,v ∈ V are said to be orthogonal if <u,v> = 0.

Is it correct to write it as: if <u,v> = 0, then the two vectors u,v ∈ V are said to be orthogonal

or

Is it correct to write it as: Two vectors u,v ∈ V are said to be orthogonal <=> <u,v> = 0.

Also, can I substitute the word: Provided

for If

in a logical implication?

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# Two vectors u,v ∈ V are said to be orthogonal if

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