Description: 6 + 6 = 12. (Contributed by Mario Carneiro, 19-Apr-2015)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | 6p6e12 | |- ( 6 + 6 ) = ; 1 2 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | 6nn0 | |- 6 e. NN0 | |
| 2 | 5nn0 | |- 5 e. NN0 | |
| 3 | 1nn0 | |- 1 e. NN0 | |
| 4 | df-6 | |- 6 = ( 5 + 1 ) | |
| 5 | df-2 | |- 2 = ( 1 + 1 ) | |
| 6 | 6p5e11 | |- ( 6 + 5 ) = ; 1 1 | |
| 7 | 1 2 3 4 5 6 | 6p5lem | |- ( 6 + 6 ) = ; 1 2 |