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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 typerequirementsstatement
0modus ponens1, 2,  ⊢  
1instantiation3, 4, 5  ⊢  
  : , : , : , : , : , :
2generalization6,  ⊢  
3theorem  ⊢  
 proveit.linear_algebra.addition.summation_closure
4theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
5instantiation7, 30, 9, 10  ⊢  
  : , : , :
6instantiation8, 30, 9, 10, 11, 12, 13, ,  ⊢  
  : , : , : , :
7theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
8theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
9instantiation16  ⊢  
  : , :
10instantiation14, 15  ⊢  
  :
11instantiation16  ⊢  
  : , :
12assumption  ⊢  
13instantiation17, 18,  ⊢  
  :
14theorem  ⊢  
 proveit.linear_algebra.real_vec_set_is_vec_space
15theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17assumption  ⊢  
18instantiation19, 20, 21  ⊢  
  :
19theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
20instantiation36, 22, 34  ⊢  
  : , : , :
21instantiation23, 24  ⊢  
  : , :
22instantiation25, 32, 33  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.ordering.relax_less
24instantiation26, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
26theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
27instantiation29, 30  ⊢  
  :
28instantiation31, 32, 33, 34  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
30theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
31theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
32instantiation36, 37, 35  ⊢  
  : , : , :
33instantiation36, 37, 38  ⊢  
  : , : , :
34assumption  ⊢  
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4