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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.logic.equality.sub_left_side_into
2instantiation4, 33, 5, 6  ⊢  
  : , :
3reference11  ⊢  
4theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
6instantiation7, 24, 8, 26, 9, 10*, 11*  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
9instantiation12, 13  ⊢  
  :
10instantiation16, 14, 15  ⊢  
  : , : , :
11instantiation16, 17, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
13theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
14instantiation19, 22  ⊢  
  :
15instantiation21, 22, 20  ⊢  
  : , :
16theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
17theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_2
18instantiation21, 22, 23  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
21theorem  ⊢  
 proveit.numbers.addition.commutation
22instantiation34, 25, 24  ⊢  
  : , : , :
23instantiation34, 25, 26  ⊢  
  : , : , :
24instantiation34, 28, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation34, 28, 29  ⊢  
  : , : , :
27instantiation34, 31, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation34, 31, 32  ⊢  
  : , : , :
30instantiation34, 35, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation34, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements