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 |  ,  ,  ⊢  | |
 :  ,  :  ,  :  ,  :  | ||||
| 1 | axiom | ⊢  | ||
| proveit.core_expr_types.operations.operands_substitution | ||||
| 2 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat3 | ||||
| 3 | instantiation | 8 | ⊢  | |
 :  ,  :  ,  :  | ||||
| 4 | instantiation | 8 | ⊢  | |
: , :  , : | ||||
| 5 | instantiation | 12, 9 | ⊢  | |
| : | ||||
| 6 | instantiation | 10, 11 | ⊢  | |
 : | ||||
| 7 | instantiation | 12, 13 | ⊢  | |
| : | ||||
| 8 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_3_typical_eq | ||||
| 9 | instantiation | 15, 14 | ⊢  | |
:  , : | ||||
| 10 | theorem | ⊢  | ||
| proveit.numbers.absolute_value.complex_unit_length | ||||
| 11 | assumption | ⊢ | ||
| 12 | theorem | ⊢  | ||
| proveit.numbers.absolute_value.abs_non_neg_elim | ||||
| 13 | instantiation | 15, 16 | ⊢  | |
| : , : | ||||
| 14 | instantiation | 18, 17 | ⊢  | |
| : | ||||
| 15 | theorem | ⊢  | ||
| proveit.numbers.ordering.relax_less | ||||
| 16 | instantiation | 18, 19 | ⊢  | |
| : | ||||
| 17 | assumption | ⊢ | ||
| 18 | theorem | ⊢  | ||
| proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos | ||||
| 19 | assumption | ⊢ | ||