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 |  ⊢  | |
 :  ,  :  | ||||
| 1 | theorem | ⊢  | ||
| proveit.logic.sets.membership.double_negated_membership | ||||
| 2 | instantiation | 3, 4, 5, 6 | ⊢  | |
 :  , : ,  :  | ||||
| 3 | theorem | ⊢  | ||
| proveit.logic.sets.enumeration.fold | ||||
| 4 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat5 | ||||
| 5 | instantiation | 7 | ⊢  | |
 :  ,  :  , :  ,  :  ,  : | ||||
| 6 | instantiation | 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 | ⊢  | |
 : , : ,  :  ,  : ,  :  | ||||
| 7 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_5_typical_eq | ||||
| 8 | theorem | ⊢  | ||
| proveit.logic.booleans.disjunction.or_if_any | ||||
| 9 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat1 | ||||
| 10 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat3 | ||||
| 11 | instantiation | 18 | ⊢  | |
:  , :  , :  | ||||
| 12 | instantiation | 19 | ⊢  | |
| : , : | ||||
| 13 | instantiation | 19 | ⊢  | |
| : , : | ||||
| 14 | instantiation | 19 | ⊢  | |
| : , : | ||||
| 15 | instantiation | 19 | ⊢  | |
| : , : | ||||
| 16 | instantiation | 19 | ⊢  | |
| : , : | ||||
| 17 | assumption | ⊢ | ||
| 18 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_3_typical_eq | ||||
| 19 | axiom | ⊢  | ||
| proveit.logic.equality.equality_in_bool | ||||