Description: 8 times 6 equals 48. (Contributed by Mario Carneiro, 19-Apr-2015) (Revised by AV, 6-Sep-2021)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | 8t6e48 | |- ( 8 x. 6 ) = ; 4 8 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 8nn0 | |- 8 e. NN0 |
|
| 2 | 5nn0 | |- 5 e. NN0 |
|
| 3 | df-6 | |- 6 = ( 5 + 1 ) |
|
| 4 | 8t5e40 | |- ( 8 x. 5 ) = ; 4 0 |
|
| 5 | 4nn0 | |- 4 e. NN0 |
|
| 6 | 5 | dec0u | |- ( ; 1 0 x. 4 ) = ; 4 0 |
| 7 | 4 6 | eqtr4i | |- ( 8 x. 5 ) = ( ; 1 0 x. 4 ) |
| 8 | dfdec10 | |- ; 4 8 = ( ( ; 1 0 x. 4 ) + 8 ) |
|
| 9 | 8 | eqcomi | |- ( ( ; 1 0 x. 4 ) + 8 ) = ; 4 8 |
| 10 | 1 2 3 7 9 | 4t3lem | |- ( 8 x. 6 ) = ; 4 8 |