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.equality.substitution | ||||
| 2 | instantiation | 3, 4, 5 | , ⊢  | |
 :  ,  :  | ||||
| 3 | theorem | ⊢  | ||
| proveit.numbers.multiplication.commutation | ||||
| 4 | instantiation | 13, 7, 6 | ⊢  | |
 :  ,  :  , : | ||||
| 5 | instantiation | 13, 7, 8 | ⊢  | |
| : , : , : | ||||
| 6 | instantiation | 13, 10, 9 | ⊢  | |
:  , : , : | ||||
| 7 | theorem | ⊢  | ||
| proveit.numbers.number_sets.complex_numbers.real_within_complex | ||||
| 8 | instantiation | 13, 10, 11 | ⊢  | |
| : , : , : | ||||
| 9 | instantiation | 13, 14, 12 | ⊢  | |
:  , : , : | ||||
| 10 | theorem | ⊢  | ||
| proveit.numbers.number_sets.real_numbers.rational_within_real | ||||
| 11 | instantiation | 13, 14, 15 | ⊢  | |
| : , : , : | ||||
| 12 | assumption | ⊢ | ||
| 13 | theorem | ⊢  | ||
| proveit.logic.sets.inclusion.superset_membership_from_proper_subset | ||||
| 14 | theorem | ⊢  | ||
| proveit.numbers.number_sets.rational_numbers.int_within_rational | ||||
| 15 | assumption | ⊢ | ||