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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
2assumption  ⊢  
3reference39  ⊢  
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
5instantiation12  ⊢  
  : , :
6reference17  ⊢  
7instantiation12  ⊢  
  : , :
8assumption  ⊢  
9assumption  ⊢  
10modus ponens13, 14  ⊢  
11assumption  ⊢  
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13instantiation15, 16, 17  ⊢  
  : , : , : , : , : , :
14generalization18  ⊢  
15theorem  ⊢  
 proveit.linear_algebra.addition.summation_closure
16theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
17instantiation19, 20  ⊢  
  :
18instantiation21, 22,  ⊢  
  :
19theorem  ⊢  
 proveit.linear_algebra.real_vec_set_is_vec_space
20theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
21assumption  ⊢  
22instantiation23, 24, 25  ⊢  
  :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
24instantiation40, 26, 38  ⊢  
  : , : , :
25instantiation27, 28  ⊢  
  : , :
26instantiation29, 36, 37  ⊢  
  : , :
27theorem  ⊢  
 proveit.numbers.ordering.relax_less
28instantiation30, 31, 32  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
30theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
31instantiation33, 34  ⊢  
  :
32instantiation35, 36, 37, 38  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
34theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
35theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
36instantiation40, 41, 39  ⊢  
  : , : , :
37instantiation40, 41, 42  ⊢  
  : , : , :
38assumption  ⊢  
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4