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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.addition.commutation
2instantiation30, 5, 4  ⊢  
  : , : , :
3instantiation30, 5, 6  ⊢  
  : , : , :
4instantiation30, 8, 7  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
6instantiation30, 8, 9  ⊢  
  : , : , :
7instantiation30, 11, 10  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
9instantiation30, 11, 12  ⊢  
  : , : , :
10instantiation30, 13, 14  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
12instantiation15, 16  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
14theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
15theorem  ⊢  
 proveit.numbers.negation.int_closure
16instantiation30, 29, 17  ⊢  
  : , : , :
17instantiation18, 19, 20  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.exponentiation.exp_natpos_closure
19theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
20instantiation21, 22, 23  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
22instantiation24, 25, 26  ⊢  
  : , :
23instantiation27, 28  ⊢  
  : , :
24theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
25instantiation30, 29, 34  ⊢  
  : , : , :
26instantiation30, 31, 32  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
28instantiation33, 34  ⊢  
  :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
32instantiation35, 36  ⊢  
  :
33theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
34axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
35theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
36theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1