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 | axiom | ⊢  | ||
| proveit.logic.booleans.implication.denial_via_contradiction | ||||
| 2 | instantiation | 4 | ⊢  | |
 :  ,  :  | ||||
| 3 | deduction | 5 | , , ⊢  | |
| 4 | axiom | ⊢  | ||
| proveit.logic.equality.equality_in_bool | ||||
| 5 | instantiation | 6, 7, 8 | , , , ⊢  | |
:  | ||||
| 6 | theorem | ⊢  | ||
| proveit.logic.booleans.negation.negation_contradiction | ||||
| 7 | modus ponens | 9, 10 | , , ⊢ | |
| 8 | assumption | ⊢ | ||
| 9 | instantiation | 11, 12 | , ⊢  | |
| : | ||||
| 10 | instantiation | 13, 14 | ⊢ | |
| : | ||||
| 11 | instantiation | 15, 16 | ⊢  | |
:  ,  : | ||||
| 12 | assumption | ⊢ | ||
| 13 | axiom | ⊢  | ||
| proveit.logic.booleans.eq_true_elim | ||||
| 14 | assumption | ⊢ | ||
| 15 | theorem | ⊢  | ||
| proveit.logic.booleans.conjunction.right_from_and | ||||
| 16 | assumption | ⊢ | ||