Theorem 6re

Description: The number 6 is real. (Contributed by NM, 27-May-1999)

	Ref	Expression
Assertion	6re	⊢ 6 ∈ ℝ

Proof

Step	Hyp	Ref	Expression
1		df-6	⊢ 6 = ( 5 + 1 )
2		5re	⊢ 5 ∈ ℝ
3		1re	⊢ 1 ∈ ℝ
4	2 3	readdcli	⊢ ( 5 + 1 ) ∈ ℝ
5	1 4	eqeltri	⊢ 6 ∈ ℝ