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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, 12  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.disassociation
2theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
3reference35  ⊢  
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation13  ⊢  
  : , : , :
6instantiation14  ⊢  
  : , :
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation33, 22, 15  ⊢  
  : , : , :
9instantiation33, 22, 16  ⊢  
  : , : , :
10reference18  ⊢  
11instantiation33, 22, 21  ⊢  
  : , : , :
12instantiation17, 18  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15instantiation24, 25, 19  ⊢  
  : , : , :
16instantiation20, 21  ⊢  
  :
17theorem  ⊢  
 proveit.numbers.negation.complex_closure
18instantiation33, 22, 23  ⊢  
  : , : , :
19axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
20theorem  ⊢  
 proveit.numbers.negation.real_closure
21instantiation24, 25, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
23instantiation33, 27, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
25instantiation29, 30  ⊢  
  : , :
26axiom  ⊢  
 proveit.physics.quantum.QPE._n_in_natural_pos
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation33, 31, 32  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation33, 34, 35  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2