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, 11*, 12* |  ,  ,  ,  ⊢  | |
 :  ,  :  ,  :  ,  :  ,  :  ,  :  ,  :  ,  : ,  :  ,  : ,  :  ,  : | ||||
| 1 | theorem | ⊢  | ||
| proveit.linear_algebra.tensors.remove_vec_on_both_sides_of_equality | ||||
| 2 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat1 | ||||
| 3 | axiom | ⊢  | ||
| proveit.numbers.number_sets.natural_numbers.zero_in_nats | ||||
| 4 | theorem | ⊢  | ||
| proveit.core_expr_types.tuples.tuple_len_0_typical_eq | ||||
| 5 | reference | 16 | ⊢  | |
| 6 | reference | 14 | ⊢ | |
| 7 | reference | 17 | ⊢ | |
| 8 | assumption | ⊢ | ||
| 9 | instantiation | 13 | ⊢  | |
 : | ||||
| 10 | assumption | ⊢ | ||
| 11 | instantiation | 15, 16, 14 | ⊢  | |
: , : ,  :  | ||||
| 12 | instantiation | 15, 16, 17 | ⊢  | |
: , : , :  | ||||
| 13 | axiom | ⊢  | ||
| proveit.logic.equality.equals_reflexivity | ||||
| 14 | assumption | ⊢ | ||
| 15 | axiom | ⊢  | ||
| proveit.linear_algebra.tensors.unary_tensor_prod_def | ||||
| 16 | instantiation | 18, 19 | ⊢ | |
 :  | ||||
| 17 | assumption | ⊢ | ||
| 18 | theorem | ⊢  | ||
| proveit.linear_algebra.real_vec_set_is_vec_space | ||||
| 19 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.posnat3 | ||||
| *equality replacement requirements | ||||