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Metamath Proof Explorer

Theorem re1

Description: The real part of one. (Contributed by Scott Fenton, 9-Jun-2006)

		Ref	Expression
	Assertion	re1	⊢ ( ℜ ‘ 1 ) = 1

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