Description: 5 times the cube of 2 is 40. (Contributed by AV, 4-Jul-2020)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | 5tcu2e40 | |- ( 5 x. ( 2 ^ 3 ) ) = ; 4 0 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | cu2 | |- ( 2 ^ 3 ) = 8 | |
| 2 | 1 | oveq2i | |- ( 5 x. ( 2 ^ 3 ) ) = ( 5 x. 8 ) | 
| 3 | 5cn | |- 5 e. CC | |
| 4 | 8cn | |- 8 e. CC | |
| 5 | 3 4 | mulcomi | |- ( 5 x. 8 ) = ( 8 x. 5 ) | 
| 6 | 8t5e40 | |- ( 8 x. 5 ) = ; 4 0 | |
| 7 | 2 5 6 | 3eqtri | |- ( 5 x. ( 2 ^ 3 ) ) = ; 4 0 |