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 | 4 | ⊢  | |
| 2 | instantiation | 4, 5, 6 | , , , , ⊢  | |
: , :  , : | ||||
| 3 | instantiation | 16, 11, 10, 7, 12, 18, 8, 9 | , , ⊢  | |
 :  ,  :  , :  , : ,  :  ,  :  | ||||
| 4 | theorem | ⊢ | ||
| proveit.numbers.ordering.transitivity_less_eq_less_eq | ||||
| 5 | instantiation | 16, 10, 11, 12, 13, 14, 19, 15 | , , ⊢  | |
: , : , : , : , : , :  | ||||
| 6 | instantiation | 16, 17, 18, 19, 20 | , , ⊢  | |
:  , : , : , : , :  , :  | ||||
| 7 | instantiation | 22 | ⊢  | |
| : , : | ||||
| 8 | assumption | ⊢ | ||
| 9 | instantiation | 23, 21 | ⊢  | |
| : , : | ||||
| 10 | axiom | ⊢  | ||
| proveit.numbers.number_sets.natural_numbers.zero_in_nats | ||||
| 11 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat2 | ||||
| 12 | theorem | ⊢  | ||
| proveit.core_expr_types.tuples.tuple_len_0_typical_eq | ||||
| 13 | instantiation | 22 | ⊢  | |
| : , : | ||||
| 14 | assumption | ⊢ | ||
| 15 | instantiation | 23, 24 | ⊢  | |
| : , : | ||||
| 16 | theorem | ⊢  | ||
| proveit.numbers.multiplication.weak_bound_via_factor_bound | ||||
| 17 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat1 | ||||
| 18 | assumption | ⊢ | ||
| 19 | assumption | ⊢ | ||
| 20 | assumption | ⊢ | ||
| 21 | assumption | ⊢ | ||
| 22 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_2_typical_eq | ||||
| 23 | theorem | ⊢  | ||
| proveit.numbers.ordering.relax_less | ||||
| 24 | assumption | ⊢ | ||