Proving O<1 in an ordered field

[stone pelican]

Suppose 0>=1

0=/=1 because 0 is the additive identity and 1 is the multiplicative identity

So the only possibility left would be 0>1 but that contradicts the assumption

[stray elm]

How does 0>1 contradict 0>=1

2 is greater than 1 but 2 is also greater than or equal to 1

[empty mist]

!original

[honest wedge]

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