Database
REAL AND COMPLEX NUMBERS
Derive the basic properties from the field axioms
Ordering on reals
gtso
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lttri2
Metamath Proof Explorer
Ascii
Structured
Theorem
gtso
Description:
'Greater than' is a strict ordering.
(Contributed by
JJ
, 11-Oct-2018)
Ref
Expression
Assertion
gtso
⊢
◡
< Or ℝ
Proof
Step
Hyp
Ref
Expression
1
ltso
⊢
< Or ℝ
2
cnvso
⊢
( < Or ℝ ↔
◡
< Or ℝ )
3
1
2
mpbi
⊢
◡
< Or ℝ