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 ) = ; 1 1

Proof

Step	Hyp	Ref	Expression
1		8nn0	⊢ 8 ∈ ℕ0
2		2nn0	⊢ 2 ∈ ℕ0
3		0nn0	⊢ 0 ∈ ℕ0
4		df-3	⊢ 3 = ( 2 + 1 )
5		1e0p1	⊢ 1 = ( 0 + 1 )
6		8p2e10	⊢ ( 8 + 2 ) = ; 1 0
7	1 2 3 4 5 6	6p5lem	⊢ ( 8 + 3 ) = ; 1 1