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Metamath Proof Explorer

Theorem peano2re

Description: A theorem for reals analogous the second Peano postulate peano2nn . (Contributed by NM, 5-Jul-2005)

		Ref	Expression
	Assertion	peano2re	$⊢ A \in ℝ \to A + 1 \in ℝ$

Step	Hyp	Ref	Expression
1		1re	$⊢ 1 \in ℝ$
2		readdcl	$⊢ (A \in ℝ \land 1 \in ℝ) \to A + 1 \in ℝ$
3	1 2	mpan2	$⊢ A \in ℝ \to A + 1 \in ℝ$