Theorem 4t4e16

Description: 4 times 4 equals 16. (Contributed by Mario Carneiro, 19-Apr-2015)

	Ref	Expression
Assertion	4t4e16	⊢ ( 4 · 4 ) = ; 1 6

Proof

Step	Hyp	Ref	Expression
1		4nn0	⊢ 4 ∈ ℕ0
2		3nn0	⊢ 3 ∈ ℕ0
3		df-4	⊢ 4 = ( 3 + 1 )
4		4t3e12	⊢ ( 4 · 3 ) = ; 1 2
5		1nn0	⊢ 1 ∈ ℕ0
6		2nn0	⊢ 2 ∈ ℕ0
7		eqid	⊢ ; 1 2 = ; 1 2
8		4cn	⊢ 4 ∈ ℂ
9		2cn	⊢ 2 ∈ ℂ
10		4p2e6	⊢ ( 4 + 2 ) = 6
11	8 9 10	addcomli	⊢ ( 2 + 4 ) = 6
12	5 6 1 7 11	decaddi	⊢ ( ; 1 2 + 4 ) = ; 1 6
13	1 2 3 4 12	4t3lem	⊢ ( 4 · 4 ) = ; 1 6