Description: 6 times 6 equals 36. (Contributed by Mario Carneiro, 19-Apr-2015) (Revised by AV, 6-Sep-2021)
Ref | Expression | ||
---|---|---|---|
Assertion | 6t6e36 | |- ( 6 x. 6 ) = ; 3 6 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 6nn0 | |- 6 e. NN0 |
|
2 | 5nn0 | |- 5 e. NN0 |
|
3 | df-6 | |- 6 = ( 5 + 1 ) |
|
4 | 6t5e30 | |- ( 6 x. 5 ) = ; 3 0 |
|
5 | 3nn0 | |- 3 e. NN0 |
|
6 | 5 | dec0u | |- ( ; 1 0 x. 3 ) = ; 3 0 |
7 | 4 6 | eqtr4i | |- ( 6 x. 5 ) = ( ; 1 0 x. 3 ) |
8 | dfdec10 | |- ; 3 6 = ( ( ; 1 0 x. 3 ) + 6 ) |
|
9 | 8 | eqcomi | |- ( ( ; 1 0 x. 3 ) + 6 ) = ; 3 6 |
10 | 1 2 3 7 9 | 4t3lem | |- ( 6 x. 6 ) = ; 3 6 |