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 | 18 | ⊢  | |
| 2 | instantiation | 4, 5, 6, 7, 21 | , , , , , ⊢  | |
 : , : , :  | ||||
| 3 | instantiation | 8, 14, 9, 12, 10, 15 | , , , , , ⊢  | |
| : , : , : | ||||
| 4 | theorem | ⊢  | ||
| proveit.numbers.division.strong_div_from_denom_bound__pos_over_neg | ||||
| 5 | instantiation | 11, 12, 13 | , ⊢  | |
| : | ||||
| 6 | instantiation | 16, 14, 15 | , , ⊢  | |
| : | ||||
| 7 | instantiation | 16, 17, 22 | , ⊢  | |
| : | ||||
| 8 | theorem | ⊢  | ||
| proveit.numbers.division.strong_div_from_numer_bound__neg_denom | ||||
| 9 | assumption | ⊢ | ||
| 10 | assumption | ⊢ | ||
| 11 | theorem | ⊢  | ||
| proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos | ||||
| 12 | assumption | ⊢ | ||
| 13 | assumption | ⊢ | ||
| 14 | assumption | ⊢ | ||
| 15 | instantiation | 18, 19 | , ⊢  | |
: , : , :  | ||||
| 16 | theorem | ⊢  | ||
| proveit.numbers.number_sets.real_numbers.neg_real_is_real_neg | ||||
| 17 | assumption | ⊢ | ||
| 18 | axiom | ⊢ | ||
| proveit.numbers.ordering.transitivity_less_less | ||||
| 19 | instantiation | 20, 21, 22 | , ⊢  | |
 :  ,  : | ||||
| 20 | theorem | ⊢  | ||
| proveit.logic.booleans.conjunction.and_if_both | ||||
| 21 | assumption | ⊢ | ||
| 22 | assumption | ⊢ | ||