Theorem 6t3e18

Description: 6 times 3 equals 18. (Contributed by Mario Carneiro, 19-Apr-2015)

	Ref	Expression
Assertion	6t3e18	⊢ ( 6 · 3 ) = ; 1 8

Proof

Step	Hyp	Ref	Expression
1		6nn0	⊢ 6 ∈ ℕ0
2		2nn0	⊢ 2 ∈ ℕ0
3		df-3	⊢ 3 = ( 2 + 1 )
4		6t2e12	⊢ ( 6 · 2 ) = ; 1 2
5		1nn0	⊢ 1 ∈ ℕ0
6		eqid	⊢ ; 1 2 = ; 1 2
7		6cn	⊢ 6 ∈ ℂ
8		2cn	⊢ 2 ∈ ℂ
9		6p2e8	⊢ ( 6 + 2 ) = 8
10	7 8 9	addcomli	⊢ ( 2 + 6 ) = 8
11	5 2 1 6 10	decaddi	⊢ ( ; 1 2 + 6 ) = ; 1 8
12	1 2 3 4 11	4t3lem	⊢ ( 6 · 3 ) = ; 1 8