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.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space | ||||
| 2 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.posnat4 | ||||
| 3 | instantiation | 10 | ⊢  | |
:  ,  : ,  : ,  : | ||||
| 4 | reference | 15 | ⊢  | |
| 5 | instantiation | 10 | ⊢  | |
:  , :  , :  , :  | ||||
| 6 | assumption | ⊢ | ||
| 7 | instantiation | 11, 15, 12, 13 | , ⊢  | |
: , : , : ,  :  | ||||
| 8 | instantiation | 14, 21, 15, 16, 17, 18, 19 | , , ⊢  | |
 :  , : , : , :  | ||||
| 9 | assumption | ⊢ | ||
| 10 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_4_typical_eq | ||||
| 11 | theorem | ⊢  | ||
| proveit.linear_algebra.scalar_multiplication.scalar_mult_closure | ||||
| 12 | assumption | ⊢ | ||
| 13 | assumption | ⊢ | ||
| 14 | theorem | ⊢  | ||
| proveit.linear_algebra.addition.closure | ||||
| 15 | instantiation | 20, 21 | ⊢ | |
| : | ||||
| 16 | instantiation | 22 | ⊢  | |
:  , : , :  | ||||
| 17 | assumption | ⊢ | ||
| 18 | assumption | ⊢ | ||
| 19 | assumption | ⊢ | ||
| 20 | theorem | ⊢  | ||
| proveit.linear_algebra.real_vec_set_is_vec_space | ||||
| 21 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.posnat3 | ||||
| 22 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_3_typical_eq | ||||