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chain of inequalities with $p$-adic anaysis


On changing from '<' to '$le$' when taking limits (with norm $|bullet|_p$)Continuous p-adic function similar to q-adic normConvergence with the $5$-adic metric.genesis of the isomorphism $Lambda(Gamma) cong mathbb Z_p[[T]]$ and Mahler's theorem, etc.Equivalent norms on a field differ only by a powerBasic question on p-adic numbersWhy do exist conjugate units such that…Proof on a generalization of Hensel's lifting lemmaCan anyone help me understand this part of a proof involving inverse limits?













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$begingroup$


I'm reading a paper of recurrences sequences. In the Lemma 2 there is a chain of inequalities, which i've
locked in the blue box in the image, which I do not understand how they are justified. If someone has a clue or an answer, I would appreciate it very much. I have added some information that precedes the lemma.
enter image description hereenter image description hereenter image description here










share|cite|improve this question









$endgroup$
















    0












    $begingroup$


    I'm reading a paper of recurrences sequences. In the Lemma 2 there is a chain of inequalities, which i've
    locked in the blue box in the image, which I do not understand how they are justified. If someone has a clue or an answer, I would appreciate it very much. I have added some information that precedes the lemma.
    enter image description hereenter image description hereenter image description here










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      I'm reading a paper of recurrences sequences. In the Lemma 2 there is a chain of inequalities, which i've
      locked in the blue box in the image, which I do not understand how they are justified. If someone has a clue or an answer, I would appreciate it very much. I have added some information that precedes the lemma.
      enter image description hereenter image description hereenter image description here










      share|cite|improve this question









      $endgroup$




      I'm reading a paper of recurrences sequences. In the Lemma 2 there is a chain of inequalities, which i've
      locked in the blue box in the image, which I do not understand how they are justified. If someone has a clue or an answer, I would appreciate it very much. I have added some information that precedes the lemma.
      enter image description hereenter image description hereenter image description here







      p-adic-number-theory






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 21 at 14:59









      Jose Luis Orozco GonzalesJose Luis Orozco Gonzales

      586




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