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.equality.equals_transitivity | ||||
| 2 | instantiation | 8, 4 | , ⊢  | |
 :  , :  , :  | ||||
| 3 | instantiation | 8, 5 | ⊢  | |
:  , :  , :  | ||||
| 4 | instantiation | 6, 7 | , ⊢  | |
| : | ||||
| 5 | instantiation | 8, 9 | ⊢  | |
:  , :  , :  | ||||
| 6 | theorem | ⊢  | ||
| proveit.numbers.division.frac_one_denom | ||||
| 7 | instantiation | 10, 11, 13 | , ⊢  | |
:  , : | ||||
| 8 | axiom | ⊢  | ||
| proveit.logic.equality.substitution | ||||
| 9 | instantiation | 12, 13 | ⊢  | |
| : | ||||
| 10 | theorem | ⊢  | ||
| proveit.numbers.multiplication.mult_complex_closure_bin | ||||
| 11 | instantiation | 15, 16, 14 | ⊢  | |
 :  ,  :  , : | ||||
| 12 | theorem | ⊢  | ||
| proveit.numbers.multiplication.elim_one_right | ||||
| 13 | instantiation | 15, 16, 17 | ⊢  | |
| : , : , : | ||||
| 14 | assumption | ⊢ | ||
| 15 | theorem | ⊢  | ||
| proveit.logic.sets.inclusion.superset_membership_from_proper_subset | ||||
| 16 | theorem | ⊢  | ||
| proveit.numbers.number_sets.complex_numbers.real_within_complex | ||||
| 17 | assumption | ⊢ | ||