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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
0generalization1, , ,  ⊢  
1instantiation2, 3, 32, 4, 5, 6, 7, 8, 9, 10, , , ,  ⊢  
  : , : , : , : , : , : , : , : , : , :
2theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_association
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
4instantiation13  ⊢  
  : , :
5instantiation11, 12  ⊢  
  :
6instantiation13  ⊢  
  : , :
7assumption  ⊢  
8assumption  ⊢  
9instantiation14, 15,  ⊢  
  :
10assumption  ⊢  
11theorem  ⊢  
 proveit.linear_algebra.real_vec_set_is_vec_space
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14assumption  ⊢  
15instantiation16, 17, 18  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
17instantiation33, 19, 31  ⊢  
  : , : , :
18instantiation20, 21  ⊢  
  : , :
19instantiation22, 29, 30  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.ordering.relax_less
21instantiation23, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
23theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
24instantiation26, 27  ⊢  
  :
25instantiation28, 29, 30, 31  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
28theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
29instantiation33, 34, 32  ⊢  
  : , : , :
30instantiation33, 34, 35  ⊢  
  : , : , :
31assumption  ⊢  
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4