Theorem 6t5e30

Description: 6 times 5 equals 30. (Contributed by Mario Carneiro, 19-Apr-2015) (Revised by AV, 6-Sep-2021)

	Ref	Expression
Assertion	6t5e30	|- ( 6 x. 5 ) = ; 3 0

Proof

Step	Hyp	Ref	Expression
1		6nn0	|- 6 e. NN0
2		4nn0	|- 4 e. NN0
3		df-5	|- 5 = ( 4 + 1 )
4		6t4e24	|- ( 6 x. 4 ) = ; 2 4
5		2nn0	|- 2 e. NN0
6		eqid	|- ; 2 4 = ; 2 4
7		2p1e3	|- ( 2 + 1 ) = 3
8		6cn	|- 6 e. CC
9		4cn	|- 4 e. CC
10		6p4e10	|- ( 6 + 4 ) = ; 1 0
11	8 9 10	addcomli	|- ( 4 + 6 ) = ; 1 0
12	5 2 1 6 7 11	decaddci2	|- ( ; 2 4 + 6 ) = ; 3 0
13	1 2 3 4 12	4t3lem	|- ( 6 x. 5 ) = ; 3 0