Theorem 8p6e14

Description: 8 + 6 = 14. (Contributed by Mario Carneiro, 19-Apr-2015)

	Ref	Expression
Assertion	8p6e14	$$⊢8+6=14$$

Proof

Step	Hyp	Ref	Expression
1		8nn0	$$⊢8\in {\mathbb{N}}_0$$
2		5nn0	$$⊢5\in {\mathbb{N}}_0$$
3		3nn0	$$⊢3\in {\mathbb{N}}_0$$
4		df-6	$$⊢6=5+1$$
5		df-4	$$⊢4=3+1$$
6		8p5e13	$$⊢8+5=13$$
7	1 2 3 4 5 6	6p5lem	$$⊢8+6=14$$