Metamath Proof Explorer


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