Theorem lep1d

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

	Ref	Expression
Hypothesis	ltp1d.1	$$⊢\phi \to A\in ℝ$$
Assertion	lep1d	$$⊢\phi \to A\le A+1$$

Proof

Step	Hyp	Ref	Expression
1		ltp1d.1	$$⊢\phi \to A\in ℝ$$
2		lep1	$$⊢A\in ℝ\to A\le A+1$$
3	1 2	syl	$$⊢\phi \to A\le A+1$$