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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  ⊢  
  : , : , :
1reference44  ⊢  
2reference42  ⊢  
3instantiation44, 4, 5  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
5instantiation6, 18, 7, 8, 9  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
7instantiation11, 18, 10  ⊢  
  :
8instantiation11, 46, 12  ⊢  
  :
9theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
10instantiation15, 13, 14  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.n_in_digits
12instantiation15, 16, 17  ⊢  
  : , :
13instantiation28, 18  ⊢  
  :
14instantiation19, 20  ⊢  
  :
15theorem  ⊢  
 proveit.logic.booleans.conjunction.and_if_both
16instantiation28, 46  ⊢  
  :
17instantiation21, 39, 22, 23, 24, 25*, 26*  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
19theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
20theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat9
21theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_left_term_bound
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
23instantiation44, 40, 27  ⊢  
  : , : , :
24instantiation28, 37  ⊢  
  :
25instantiation29, 30, 31  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.add_7_2
27instantiation44, 42, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
29theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
30instantiation33, 35  ⊢  
  :
31instantiation34, 35, 36  ⊢  
  : , :
32instantiation44, 45, 37  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
34theorem  ⊢  
 proveit.numbers.addition.commutation
35instantiation44, 38, 39  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat7
38theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
39instantiation44, 40, 41  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
41instantiation44, 42, 43  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
43instantiation44, 45, 46  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
46theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements