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, 10* |  ,  ,  ⊢  | |
 :  ,  :  ,  :  ,  :  ,  :  ,  :  | ||||
| 1 | theorem | ⊢  | ||
| proveit.numbers.multiplication.association | ||||
| 2 | reference | 12 | ⊢  | |
| 3 | reference | 13 | ⊢  | |
| 4 | reference | 14 | ⊢  | |
| 5 | reference | 15 | ⊢  | |
| 6 | reference | 16 | ⊢  | |
| 7 | reference | 17 | ⊢ | |
| 8 | reference | 18 | ⊢ | |
| 9 | reference | 19 | ⊢ | |
| 10 | instantiation | 11, 12, 13, 14, 15, 16, 17, 18, 19 | , , ⊢  | |
| : , : , : , : , : , : | ||||
| 11 | theorem | ⊢  | ||
| proveit.numbers.multiplication.disassociation | ||||
| 12 | theorem | ⊢ | ||
| proveit.numbers.numerals.decimals.nat1 | ||||
| 13 | theorem | ⊢ | ||
| proveit.numbers.numerals.decimals.nat2 | ||||
| 14 | axiom | ⊢ | ||
| proveit.numbers.number_sets.natural_numbers.zero_in_nats | ||||
| 15 | instantiation | 20 | ⊢ | |
:  , :  | ||||
| 16 | theorem | ⊢ | ||
| proveit.core_expr_types.tuples.tuple_len_0_typical_eq | ||||
| 17 | assumption | ⊢ | ||
| 18 | assumption | ⊢ | ||
| 19 | assumption | ⊢ | ||
| 20 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_2_typical_eq | ||||
| *equality replacement requirements | ||||