Show the Proof¶
In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
| step type | requirements | statement | ||
|---|---|---|---|---|
| 0 | instantiation | 1, 2, 3 |  ⊢  | |
 :  ,  : | ||||
| 1 | theorem | ⊢  | ||
| proveit.logic.booleans.implication.contrapose_neg_consequent | ||||
| 2 | deduction | 4 | ⊢  | |
| 3 | instantiation | 5, 6 | ⊢  | |
 :  ,  :  | ||||
| 4 | instantiation | 7, 8 | ⊢  | |
| : , : | ||||
| 5 | theorem | ⊢  | ||
| proveit.logic.sets.membership.not_in_set_is_bool | ||||
| 6 | instantiation | 9, 10 | ⊢  | |
| : | ||||
| 7 | theorem | ⊢  | ||
| proveit.logic.sets.membership.unfold_not_in_set | ||||
| 8 | assumption | ⊢ | ||
| 9 | theorem | ⊢  | ||
| proveit.logic.booleans.in_bool_if_true | ||||
| 10 | assumption | ⊢ | ||