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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, 8, 9, 10, 11, , , , ,  ⊢  
  : , : , : , : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
2instantiation12, 30, 13  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
5instantiation14  ⊢  
  : , :
6reference19  ⊢  
7instantiation14  ⊢  
  : , :
8instantiation23, 24, 15  ⊢  
  : , : , :
9instantiation23, 24, 16  ⊢  
  : , : , :
10instantiation23, 24, 17  ⊢  
  : , : , :
11instantiation18, 19, 20, 21,  ⊢  
  : , : , : , :
12theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
13assumption  ⊢  
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15assumption  ⊢  
16assumption  ⊢  
17assumption  ⊢  
18theorem  ⊢  
 proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
19instantiation22, 27  ⊢  
  :
20assumption  ⊢  
21instantiation23, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.linear_algebra.complex_vec_set_is_vec_space
23theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
24instantiation26, 27, 28  ⊢  
  : , : , :
25assumption  ⊢  
26theorem  ⊢  
 proveit.logic.sets.cartesian_products.cart_exp_subset_eq
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
28instantiation29, 30  ⊢  
  : , :
29theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex