Theorem ltp1d

Description: A number is less than itself plus 1. (Contributed by Mario Carneiro, 28-May-2016)

	Ref	Expression
Hypothesis	ltp1d.1	$$⊢\phi \to A\in ℝ$$
Assertion	ltp1d	$$⊢\phi \to A<A+1$$

Proof

Step	Hyp	Ref	Expression
1		ltp1d.1	$$⊢\phi \to A\in ℝ$$
2		ltp1	$$⊢A\in ℝ\to A<A+1$$
3	1 2	syl	$$⊢\phi \to A<A+1$$