Description: 6 times 3 equals 18. (Contributed by Mario Carneiro, 19-Apr-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | 6t3e18 | |- ( 6 x. 3 ) = ; 1 8 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 6nn0 | |- 6 e. NN0 |
|
2 | 2nn0 | |- 2 e. NN0 |
|
3 | df-3 | |- 3 = ( 2 + 1 ) |
|
4 | 6t2e12 | |- ( 6 x. 2 ) = ; 1 2 |
|
5 | 1nn0 | |- 1 e. NN0 |
|
6 | eqid | |- ; 1 2 = ; 1 2 |
|
7 | 6cn | |- 6 e. CC |
|
8 | 2cn | |- 2 e. CC |
|
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 x. 3 ) = ; 1 8 |