Theorem replusg

Description: The addition operation of the field of reals. (Contributed by Thierry Arnoux, 21-Jan-2018)

	Ref	Expression
Assertion	replusg	⊢ + = ( +g ‘ ℝfld )

Proof

Step	Hyp	Ref	Expression
1		reex	⊢ ℝ ∈ V
2		df-refld	⊢ ℝfld = ( ℂfld ↾s ℝ )
3		cnfldadd	⊢ + = ( +g ‘ ℂfld )
4	2 3	ressplusg	⊢ ( ℝ ∈ V → + = ( +g ‘ ℝfld ) )
5	1 4	ax-mp	⊢ + = ( +g ‘ ℝfld )