Theorem rpex

Description: The positive reals form a set. (Contributed by Glauco Siliprandi, 11-Oct-2020)

	Ref	Expression
Assertion	rpex	⊢ ℝ+ ∈ V

Proof

Step	Hyp	Ref	Expression
1		eqid	⊢ ( ( mulGrp ‘ ℂfld ) ↾s ( ℂ ∖ { 0 } ) ) = ( ( mulGrp ‘ ℂfld ) ↾s ( ℂ ∖ { 0 } ) )
2	1	rpmsubg	⊢ ℝ+ ∈ ( SubGrp ‘ ( ( mulGrp ‘ ℂfld ) ↾s ( ℂ ∖ { 0 } ) ) )
3	2	elexi	⊢ ℝ+ ∈ V