Theorem 6p5e11

Description: 6 + 5 = 11. (Contributed by Mario Carneiro, 19-Apr-2015) (Revised by AV, 6-Sep-2021)

	Ref	Expression
Assertion	6p5e11	$$⊢6+5=11$$

Proof

Step	Hyp	Ref	Expression
1		6nn0	$$⊢6\in {\mathbb{N}}_0$$
2		4nn0	$$⊢4\in {\mathbb{N}}_0$$
3		0nn0	$$⊢0\in {\mathbb{N}}_0$$
4		df-5	$$⊢5=4+1$$
5		1e0p1	$$⊢1=0+1$$
6		6p4e10	$$⊢6+4=10$$
7	1 2 3 4 5 6	6p5lem	$$⊢6+5=11$$