Proposition: Isometry is Injective

Let \((X,d_X)\) and \((Y,d_Y)\) be metric spaces and let

\[f:X\mapsto Y\]

be an isometry. Then \(f\) is injective.

Proofs: 1


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References

Bibliography

  1. Knauer Ulrich: "Diskrete Strukturen - kurz gefasst", Spektrum Akademischer Verlag, 2001