Theorem lerelxr

Description: "Less than or equal to" is a relation on extended reals. (Contributed by Mario Carneiro, 28-Apr-2015)

	Ref	Expression
Assertion	lerelxr	⊢ ≤ ⊆ ( ℝ* × ℝ* )

Proof

Step	Hyp	Ref	Expression
1		df-le	⊢ ≤ = ( ( ℝ* × ℝ* ) ∖ ◡ < )
2		difss	⊢ ( ( ℝ* × ℝ* ) ∖ ◡ < ) ⊆ ( ℝ* × ℝ* )
3	1 2	eqsstri	⊢ ≤ ⊆ ( ℝ* × ℝ* )