This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem re0

Description: The real part of zero. (Contributed by NM, 27-Jul-1999)

		Ref	Expression
	Assertion	re0	⊢ ( ℜ ‘ 0 ) = 0

Step	Hyp	Ref	Expression
1		0re	⊢ 0 ∈ ℝ
2		rere	⊢ ( 0 ∈ ℝ → ( ℜ ‘ 0 ) = 0 )
3	1 2	ax-mp	⊢ ( ℜ ‘ 0 ) = 0