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 |  ⊢  | |
 :  ,  :  ,  :  ,  :  | ||||
| 1 | theorem | ⊢  | ||
| proveit.logic.equality.four_chain_transitivity | ||||
| 2 | instantiation | 9, 11, 10, 13, 5, 14 | ⊢  | |
 :  ,  :  , :  , : , :  , :  | ||||
| 3 | instantiation | 9, 6, 7, 8, 14 | ⊢  | |
: , : , :  , : , :  , : | ||||
| 4 | instantiation | 9, 10, 11, 12, 13, 14 | ⊢  | |
: , : , :  , : , : , : | ||||
| 5 | instantiation | 16 | ⊢  | |
| : , : , : , : | ||||
| 6 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat2 | ||||
| 7 | instantiation | 15 | ⊢  | |
| : , : | ||||
| 8 | instantiation | 15 | ⊢  | |
| : , : | ||||
| 9 | theorem | ⊢  | ||
| proveit.logic.sets.enumeration.equal_element_equality | ||||
| 10 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat4 | ||||
| 11 | axiom | ⊢  | ||
| proveit.numbers.number_sets.natural_numbers.zero_in_nats | ||||
| 12 | instantiation | 16 | ⊢  | |
| : , : , : , : | ||||
| 13 | theorem | ⊢  | ||
| proveit.core_expr_types.tuples.tuple_len_0_typical_eq | ||||
| 14 | assumption | ⊢ | ||
| 15 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_2_typical_eq | ||||
| 16 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_4_typical_eq | ||||