Let-x-A-x-R-And-card-A-gt-card-N-Prove-that-card-A-gt-card-N-

Question Number 205528 by hardmath last updated on 23/Mar/24

$$\mathrm{Let}\mathrm{\forall }\mathrm{x}\in \mathrm{A}\to \mathrm{x}\in \mathbb{R}$$$$\mathrm{And}\mathrm{card}\left(\mathrm{A}\right)>\mathrm{card}\mathrm{N}$$$$\mathrm{Prove}\mathrm{that}:$$$$\mathrm{card}\left({\mathrm{A}}^{\prime }\right)>\mathrm{card}\mathrm{N}$$

Answered by Berbere last updated on 24/Mar/24

$$whatis{A}^{\prime }?$$

Commented by hardmath last updated on 24/Mar/24

$$$$Dear profesdor,
card(A)- is a power of set A'- is a derivative of set A, the condition says that A is a non-countable set, it is necessary to prove that the derivative of A is also a non-countable set…

Commented by Berbere last updated on 25/Mar/24

$$iseeinfrenchwesaypointsLimite$$$$iwillgiveanswer$$

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