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 |  ,  ,  ,  ,  ⊢  | |
 : | ||||
| 1 | axiom | ⊢  | ||
| proveit.logic.booleans.eq_true_elim | ||||
| 2 | instantiation | 3, 4, 5, 6, 7, 8, 9 | , , , , ⊢  | |
: ,  : , : | ||||
| 3 | theorem | ⊢  | ||
| proveit.logic.booleans.disjunction.singular_constructive_dilemma_lemma | ||||
| 4 | assumption | ⊢ | ||
| 5 | assumption | ⊢ | ||
| 6 | instantiation | 10 | ⊢  | |
 : ,  :  | ||||
| 7 | assumption | ⊢ | ||
| 8 | deduction | 11 | ⊢  | |
| 9 | deduction | 12 | ⊢  | |
| 10 | axiom | ⊢  | ||
| proveit.logic.equality.equality_in_bool | ||||
| 11 | instantiation | 14, 13 | , ⊢ | |
| : | ||||
| 12 | instantiation | 14, 15 | , ⊢ | |
| : | ||||
| 13 | modus ponens | 16, 17 | , ⊢ | |
| 14 | axiom | ⊢  | ||
| proveit.logic.booleans.eq_true_intro | ||||
| 15 | modus ponens | 18, 19 | , ⊢ | |
| 16 | assumption | ⊢ | ||
| 17 | assumption | ⊢ | ||
| 18 | assumption | ⊢ | ||
| 19 | assumption | ⊢ | ||