Theorem nndivred

Description: A positive integer is one or greater. (Contributed by Mario Carneiro, 27-May-2016)

	Ref	Expression
Hypotheses	nndivred.1	$$⊢\phi \to A\in ℝ$$
	nndivred.2	$$⊢\phi \to B\in \mathbb{N}$$
Assertion	nndivred	$$⊢\phi \to \frac{A}{B}\in ℝ$$

Proof

Step	Hyp	Ref	Expression
1		nndivred.1	$$⊢\phi \to A\in ℝ$$
2		nndivred.2	$$⊢\phi \to B\in \mathbb{N}$$
3		nndivre	$$⊢\left(A\in ℝ\wedge B\in \mathbb{N}\right)\to \frac{A}{B}\in ℝ$$
4	1 2 3	syl2anc	$$⊢\phi \to \frac{A}{B}\in ℝ$$