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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
2instantiation3, 32, 4, 5  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat7
5instantiation6, 23, 7, 25, 8, 9*, 10*  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
7theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
8instantiation11, 12  ⊢  
  :
9instantiation15, 13, 14  ⊢  
  : , : , :
10instantiation15, 16, 17  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
13instantiation18, 21  ⊢  
  :
14instantiation20, 21, 19  ⊢  
  : , :
15theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
16theorem  ⊢  
 proveit.numbers.numerals.decimals.add_4_3
17instantiation20, 21, 22  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
20theorem  ⊢  
 proveit.numbers.addition.commutation
21instantiation33, 24, 23  ⊢  
  : , : , :
22instantiation33, 24, 25  ⊢  
  : , : , :
23instantiation33, 27, 26  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
25instantiation33, 27, 28  ⊢  
  : , : , :
26instantiation33, 30, 29  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation33, 30, 31  ⊢  
  : , : , :
29instantiation33, 34, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31instantiation33, 34, 35  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
*equality replacement requirements