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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