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* |  ,  ⊢  | |
 :  ,  :  ,  :  ,  :  | ||||
| 1 | axiom | ⊢  | ||
| proveit.core_expr_types.operations.operands_substitution | ||||
| 2 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat2 | ||||
| 3 | instantiation | 9 | ⊢  | |
 :  ,  :  | ||||
| 4 | instantiation | 9 | ⊢  | |
:  , :  | ||||
| 5 | assumption | ⊢ | ||
| 6 | modus ponens | 10, 11 | ⊢  | |
| 7 | instantiation | 12, 13 |  ⊢  | |
:  ,  : | ||||
| 8 | instantiation | 12, 13 | ⊢  | |
:  , : | ||||
| 9 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_2_typical_eq | ||||
| 10 | instantiation | 14, 15 | ⊢  | |
 :  ,  : ,  : ,  : , :  ,  : ,  : | ||||
| 11 | assumption | ⊢ | ||
| 12 | theorem | ⊢  | ||
| proveit.core_expr_types.conditionals.satisfied_condition_reduction | ||||
| 13 | assumption | ⊢ | ||
| 14 | theorem | ⊢  | ||
| proveit.core_expr_types.lambda_maps.general_lambda_substitution | ||||
| 15 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.posnat1 | ||||
| *equality replacement requirements | ||||