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.numbers.ordering.transitivity_less_less | ||||
| 2 | instantiation | 4, 9, 5, 8, 6 | , , , ⊢  | |
 :  , : , : | ||||
| 3 | instantiation | 7, 8, 9, 10, 11 | , , , ⊢  | |
| : , : , : | ||||
| 4 | theorem | ⊢  | ||
| proveit.numbers.addition.strong_bound_via_left_term_bound | ||||
| 5 | instantiation | 15, 16, 12 | ⊢  | |
 :  ,  :  , : | ||||
| 6 | assumption | ⊢ | ||
| 7 | theorem | ⊢  | ||
| proveit.numbers.addition.strong_bound_via_right_term_bound | ||||
| 8 | instantiation | 15, 16, 13 | ⊢  | |
| : , : , : | ||||
| 9 | instantiation | 15, 16, 14 | ⊢  | |
| : , : , : | ||||
| 10 | instantiation | 15, 16, 17 | ⊢  | |
| : , : , : | ||||
| 11 | assumption | ⊢ | ||
| 12 | assumption | ⊢ | ||
| 13 | assumption | ⊢ | ||
| 14 | assumption | ⊢ | ||
| 15 | theorem | ⊢  | ||
| proveit.logic.sets.inclusion.superset_membership_from_proper_subset | ||||
| 16 | theorem | ⊢  | ||
| proveit.numbers.number_sets.real_numbers.real_pos_within_real | ||||
| 17 | assumption | ⊢ | ||