Theorem 8p3e11

Description: 8 + 3 = 11. (Contributed by Mario Carneiro, 19-Apr-2015) (Revised by AV, 6-Sep-2021)

	Ref	Expression
Assertion	8p3e11	$$⊢8+3=11$$

Proof

Step	Hyp	Ref	Expression
1		8nn0	$$⊢8\in {\mathbb{N}}_0$$
2		2nn0	$$⊢2\in {\mathbb{N}}_0$$
3		0nn0	$$⊢0\in {\mathbb{N}}_0$$
4		df-3	$$⊢3=2+1$$
5		1e0p1	$$⊢1=0+1$$
6		8p2e10	$$⊢8+2=10$$
7	1 2 3 4 5 6	6p5lem	$$⊢8+3=11$$