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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
0instantiation1, 2, 3, 4, 5, 6, 7, ,  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
2reference24  ⊢  
3instantiation10  ⊢  
  : , :
4instantiation8, 9  ⊢  
  :
5instantiation10  ⊢  
  : , :
6instantiation11, 12,  ⊢  
  :
7assumption  ⊢  
8theorem  ⊢  
 proveit.linear_algebra.real_vec_set_is_vec_space
9theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11assumption  ⊢  
12instantiation13, 14, 15  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
14instantiation30, 16, 28  ⊢  
  : , : , :
15instantiation17, 18  ⊢  
  : , :
16instantiation19, 26, 27  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.ordering.relax_less
18instantiation20, 21, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
20theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
21instantiation23, 24  ⊢  
  :
22instantiation25, 26, 27, 28  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
24theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
25theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
26instantiation30, 31, 29  ⊢  
  : , : , :
27instantiation30, 31, 32  ⊢  
  : , : , :
28assumption  ⊢  
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4