I am reading this book and there is an attempt to prove a concept by describin it and it is pretty vague what technique the writter is using to prove it. I mannaged to break his "proof" into variables and statements. so i have 4 variables
and the statemant the author is trying to prove is
the tricky part is that it appears the following statements hold
but are not given in his formulation of what i call " his lemma".
so since i am new to discrete math, then if there is no clear formulation of the problem i don't know what strategy should i choose to prove the statement, i need some help.
my question is : To prove the statement, should i break it into cases? or is this a clasical case where one shoul use induction and treat c=1 as base case ? but what is the induction hypothesis then?. And how, one should formulate the statement correctly if one know the above stated facts.
As you can see I am confused. I would love to post the original text but it is in Macedonian and it is about the beauty of the mountain. so i doubt that anyone would invest his/hers time to break it into pieces and mess with it.
thank you in advance