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, 8, 9 |  ⊢  | |
 :  ,  :  ,  : ,  :  ,  :  ,  :  ,  :  | ||||
| 1 | theorem | ⊢  | ||
| proveit.logic.booleans.disjunction.leftward_commutation | ||||
| 2 | reference | 11 | ⊢  | |
| 3 | reference | 13 | ⊢  | |
| 4 | reference | 10 | ⊢  | |
| 5 | instantiation | 12, 14, 13, 16, 10, 17 | ⊢  | |
:  , : , :  , :  , : | ||||
| 6 | instantiation | 12, 11, 17 | ⊢  | |
: , : , : , :  , :  | ||||
| 7 | instantiation | 12, 13, 14, 15, 16, 17 | ⊢  | |
: , : , :  , :  , : | ||||
| 8 | instantiation | 18 | ⊢  | |
 : ,  : | ||||
| 9 | instantiation | 18 | ⊢  | |
: , :  | ||||
| 10 | instantiation | 19 | ⊢ | |
 : ,  : | ||||
| 11 | theorem | ⊢ | ||
| proveit.numbers.numerals.decimals.nat1 | ||||
| 12 | theorem | ⊢  | ||
| proveit.logic.booleans.disjunction.each_is_bool | ||||
| 13 | theorem | ⊢ | ||
| proveit.numbers.numerals.decimals.nat2 | ||||
| 14 | axiom | ⊢  | ||
| proveit.numbers.number_sets.natural_numbers.zero_in_nats | ||||
| 15 | instantiation | 19 | ⊢  | |
| : , : | ||||
| 16 | theorem | ⊢  | ||
| proveit.core_expr_types.tuples.tuple_len_0_typical_eq | ||||
| 17 | instantiation | 20, 21 | ⊢  | |
| : | ||||
| 18 | axiom | ⊢  | ||
| proveit.logic.equality.equality_in_bool | ||||
| 19 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_2_typical_eq | ||||
| 20 | theorem | ⊢  | ||
| proveit.logic.booleans.in_bool_if_true | ||||
| 21 | assumption | ⊢ | ||