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 | 6 | ⊢  | |
| 2 | instantiation | 4, 9, 5 | ⊢  | |
 :  ,  : ,  :  ,  : ,  : ,  : | ||||
| 3 | instantiation | 6, 7, 8 | ⊢  | |
: , :  , : | ||||
| 4 | theorem | ⊢  | ||
| proveit.logic.sets.enumeration.equal_element_equality | ||||
| 5 | assumption | ⊢ | ||
| 6 | axiom | ⊢ | ||
| proveit.logic.equality.equals_transitivity | ||||
| 7 | instantiation | 10, 11, 9, 12 | ⊢  | |
 :  ,  : ,  : , :  , : , : , : | ||||
| 8 | instantiation | 10, 11, 12 | ⊢  | |
| : , : , : , : , : , : , : | ||||
| 9 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat1 | ||||
| 10 | theorem | ⊢  | ||
| proveit.logic.sets.enumeration.reduction_right | ||||
| 11 | axiom | ⊢  | ||
| proveit.numbers.number_sets.natural_numbers.zero_in_nats | ||||
| 12 | theorem | ⊢  | ||
| proveit.core_expr_types.tuples.tuple_len_0_typical_eq | ||||