- #1
Jamin2112
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- 12
Homework Statement
Prove 0 < 1 using the properties of an ordered field.
Homework Equations
All the field properties
The Attempt at a Solution
Suppose 0=1 or 0 < 1.
If 0=1, then adding a to both sides of the equation yields
(a) + 0 = (a) + 1
Because 0 is the identity element for addition,
a = a + 1
...
Now can I just say "this a contradiction" and move on?