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 | 7 | ⊢  | |
| 2 | instantiation | 11, 4 | ⊢  | |
 :  , :  , :  | ||||
| 3 | instantiation | 11, 5 | ⊢  | |
:  , :  , :  | ||||
| 4 | instantiation | 11, 6 | ⊢  | |
:  , :  , : | ||||
| 5 | instantiation | 7, 8, 9 | ⊢  | |
: , :  , : | ||||
| 6 | instantiation | 10, 15 | ⊢  | |
| : | ||||
| 7 | axiom | ⊢ | ||
| proveit.logic.equality.equals_transitivity | ||||
| 8 | instantiation | 11, 12 | ⊢  | |
:  , :  , : | ||||
| 9 | instantiation | 13, 15 | ⊢  | |
| : | ||||
| 10 | theorem | ⊢  | ||
| proveit.numbers.multiplication.elim_one_left | ||||
| 11 | axiom | ⊢  | ||
| proveit.logic.equality.substitution | ||||
| 12 | instantiation | 14, 15 | ⊢  | |
| : | ||||
| 13 | theorem | ⊢  | ||
| proveit.numbers.division.frac_one_denom | ||||
| 14 | theorem | ⊢  | ||
| proveit.numbers.multiplication.elim_one_right | ||||
| 15 | instantiation | 16, 17, 18 | ⊢  | |
 :  ,  :  , : | ||||
| 16 | theorem | ⊢  | ||
| proveit.logic.sets.inclusion.superset_membership_from_proper_subset | ||||
| 17 | theorem | ⊢  | ||
| proveit.numbers.number_sets.complex_numbers.real_within_complex | ||||
| 18 | assumption | ⊢ | ||