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, 4, 5, 6, 7, 8, 9 |  ,  ,  ,  ⊢  | |
 :  ,  :  ,  : ,  :  ,  :  ,  : ,  : | ||||
| 1 | theorem | ⊢  | ||
| proveit.numbers.multiplication.leftward_commutation | ||||
| 2 | axiom | ⊢  | ||
| proveit.numbers.number_sets.natural_numbers.zero_in_nats | ||||
| 3 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat3 | ||||
| 4 | theorem | ⊢  | ||
| proveit.core_expr_types.tuples.tuple_len_0_typical_eq | ||||
| 5 | instantiation | 10 | ⊢  | |
| : , : , : | ||||
| 6 | instantiation | 18, 14, 11 | ⊢  | |
 :  ,  :  ,  : | ||||
| 7 | instantiation | 18, 14, 12 | ⊢  | |
| : , : , : | ||||
| 8 | instantiation | 18, 14, 13 | ⊢  | |
| : , : , : | ||||
| 9 | instantiation | 18, 14, 15 | ⊢  | |
| : , : , : | ||||
| 10 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_3_typical_eq | ||||
| 11 | instantiation | 18, 19, 16 | ⊢  | |
:  , : , : | ||||
| 12 | instantiation | 18, 19, 17 | ⊢  | |
| : , : , : | ||||
| 13 | instantiation | 18, 19, 20 | ⊢  | |
| : , : , : | ||||
| 14 | theorem | ⊢  | ||
| proveit.numbers.number_sets.complex_numbers.real_within_complex | ||||
| 15 | assumption | ⊢ | ||
| 16 | assumption | ⊢ | ||
| 17 | assumption | ⊢ | ||
| 18 | theorem | ⊢  | ||
| proveit.logic.sets.inclusion.superset_membership_from_proper_subset | ||||
| 19 | theorem | ⊢  | ||
| proveit.numbers.number_sets.real_numbers.real_neg_within_real | ||||
| 20 | assumption | ⊢ | ||