Theorem ltp1i

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

	Ref	Expression
Hypothesis	ltplus1.1	$$⊢A\in ℝ$$
Assertion	ltp1i	$$⊢A<A+1$$

Proof

Step	Hyp	Ref	Expression
1		ltplus1.1	$$⊢A\in ℝ$$
2		ltp1	$$⊢A\in ℝ\to A<A+1$$
3	1 2	ax-mp	$$⊢A<A+1$$