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 | reference | 4 | ⊢  | |
| 2 | instantiation | 4, 5, 6 | ⊢  | |
:  , :  , :  | ||||
| 3 | instantiation | 8 | ⊢  | |
 :  , : | ||||
| 4 | theorem | ⊢ | ||
| proveit.logic.equality.sub_left_side_into | ||||
| 5 | deduction | 7 | ⊢  | |
| 6 | instantiation | 8 | ⊢  | |
| : , : | ||||
| 7 | instantiation | 9, 10, 11, 12 | ⊢ | |
:  , :  | ||||
| 8 | axiom | ⊢  | ||
| proveit.logic.sets.equivalence.set_not_equiv_def | ||||
| 9 | theorem | ⊢  | ||
| proveit.logic.booleans.implication.modus_tollens_denial | ||||
| 10 | instantiation | 13 | ⊢  | |
| : , : | ||||
| 11 | deduction | 14 | ⊢  | |
| 12 | assumption | ⊢ | ||
| 13 | theorem | ⊢  | ||
| proveit.logic.sets.equivalence.set_equiv_is_bool | ||||
| 14 | instantiation | 15, 16 | ⊢ | |
| : , : | ||||
| 15 | theorem | ⊢  | ||
| proveit.logic.sets.equivalence.set_equiv_reversal | ||||
| 16 | assumption | ⊢ | ||