Theorem ltp1i

Description: A number is less than itself plus 1. (Contributed by NM, 20-Aug-2001)

	Ref	Expression
Hypothesis	ltplus1.1	⊢ 𝐴 ∈ ℝ
Assertion	ltp1i	⊢ 𝐴 < ( 𝐴 + 1 )

Proof

Step	Hyp	Ref	Expression
1		ltplus1.1	⊢ 𝐴 ∈ ℝ
2		ltp1	⊢ ( 𝐴 ∈ ℝ → 𝐴 < ( 𝐴 + 1 ) )
3	1 2	ax-mp	⊢ 𝐴 < ( 𝐴 + 1 )