Theorem ltp1d

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

	Ref	Expression
Hypothesis	ltp1d.1	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
Assertion	ltp1d	⊢ ( 𝜑 → 𝐴 < ( 𝐴 + 1 ) )

Proof

Step	Hyp	Ref	Expression
1		ltp1d.1	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
2		ltp1	⊢ ( 𝐴 ∈ ℝ → 𝐴 < ( 𝐴 + 1 ) )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 < ( 𝐴 + 1 ) )