Metamath Proof Explorer
Description: Two vectors are equal iff the norm of their difference is zero.
(Contributed by NM, 18-Aug-1999) (New usage is discouraged.)
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Ref |
Expression |
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Hypotheses |
normsub0.1 |
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normsub0.2 |
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Assertion |
normsub0i |
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Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
normsub0.1 |
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2 |
|
normsub0.2 |
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3 |
1 2
|
hvsubcli |
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4 |
3
|
norm-i-i |
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5 |
1 2
|
hvsubeq0i |
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6 |
4 5
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bitri |
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