Theorem 8t3e24

Description: 8 times 3 equals 24. (Contributed by Mario Carneiro, 19-Apr-2015)

	Ref	Expression
Assertion	8t3e24	⊢ ( 8 · 3 ) = ; 2 4

Proof

Step	Hyp	Ref	Expression
1		8nn0	⊢ 8 ∈ ℕ0
2		2nn0	⊢ 2 ∈ ℕ0
3		df-3	⊢ 3 = ( 2 + 1 )
4		8t2e16	⊢ ( 8 · 2 ) = ; 1 6
5		1nn0	⊢ 1 ∈ ℕ0
6		6nn0	⊢ 6 ∈ ℕ0
7		eqid	⊢ ; 1 6 = ; 1 6
8		1p1e2	⊢ ( 1 + 1 ) = 2
9		4nn0	⊢ 4 ∈ ℕ0
10	1	nn0cni	⊢ 8 ∈ ℂ
11	6	nn0cni	⊢ 6 ∈ ℂ
12		8p6e14	⊢ ( 8 + 6 ) = ; 1 4
13	10 11 12	addcomli	⊢ ( 6 + 8 ) = ; 1 4
14	5 6 1 7 8 9 13	decaddci	⊢ ( ; 1 6 + 8 ) = ; 2 4
15	1 2 3 4 14	4t3lem	⊢ ( 8 · 3 ) = ; 2 4