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 | generalization | 1 | ⊢  | |
| 1 | instantiation | 2, 3, 4 |  ,  ,  ,  ,  ,  ⊢  | |
 : | ||||
| 2 | axiom | ⊢  | ||
| proveit.logic.booleans.implication.affirmation_via_contradiction | ||||
| 3 | assumption | ⊢ | ||
| 4 | deduction | 5 | , , , , ⊢  | |
| 5 | instantiation | 6, 7, 8, 9 | , , ,  , , ⊢  | |
: ,  : | ||||
| 6 | theorem | ⊢  | ||
| proveit.logic.booleans.disjunction.binary_or_contradiction | ||||
| 7 | assumption | ⊢ | ||
| 8 | instantiation | 12, 10, 11, 15 | , , ⊢  | |
| : , : | ||||
| 9 | instantiation | 12, 13, 14, 15 | , , ⊢  | |
| : , : | ||||
| 10 | assumption | ⊢ | ||
| 11 | assumption | ⊢ | ||
| 12 | theorem | ⊢  | ||
| proveit.logic.booleans.implication.modus_tollens_denial | ||||
| 13 | assumption | ⊢ | ||
| 14 | assumption | ⊢ | ||
| 15 | assumption | ⊢ | ||