description/proof of that for field, positive-natural-number-th root of 0 is 0
Topics
About: field
The table of contents of this article
Starting Context
- The reader knows a definition of field.
Target Context
- The reader will have a description and a proof of the proposition that for any field, any positive-natural-number-th root of 0 is 0.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
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Statements:
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2: Proof
Whole Strategy: Step 1: see that
Step 1:
Let us see that
For each
Especially,
Supposing
So, by the induction principle,
Step 2:
Let
When
Let us suppose that
Let us suppose that
So,