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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, , , ,  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
2instantiation5, 7, 8, 9  ⊢  
  : , : , :
3assumption  ⊢  
4instantiation6, 7, 8, 9, 10, 11, 12, 13, 14, , ,  ⊢  
  : , : , : , :
5theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
6theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
7theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat4
8instantiation16  ⊢  
  : , : , : , :
9instantiation15, 24  ⊢  
  :
10instantiation16  ⊢  
  : , : , : , :
11instantiation20, 21, 17  ⊢  
  : , : , :
12instantiation20, 21, 18  ⊢  
  : , : , :
13instantiation20, 21, 19  ⊢  
  : , : , :
14instantiation20, 21, 22  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.linear_algebra.complex_vec_set_is_vec_space
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
17assumption  ⊢  
18assumption  ⊢  
19assumption  ⊢  
20theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
21instantiation23, 24, 25  ⊢  
  : , : , :
22assumption  ⊢  
23theorem  ⊢  
 proveit.logic.sets.cartesian_products.cart_exp_subset_eq
24theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
25instantiation26, 27  ⊢  
  : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex