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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
2reference14  ⊢  
3instantiation7, 14, 6  ⊢  
  :
4instantiation7, 42, 8  ⊢  
  :
5theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
6instantiation11, 9, 10  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.n_in_digits
8instantiation11, 12, 13  ⊢  
  : , :
9instantiation24, 14  ⊢  
  :
10instantiation15, 16  ⊢  
  :
11theorem  ⊢  
 proveit.logic.booleans.conjunction.and_if_both
12instantiation24, 42  ⊢  
  :
13instantiation17, 35, 18, 19, 20, 21*, 22*  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
15theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
16theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat9
17theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_left_term_bound
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
19instantiation40, 36, 23  ⊢  
  : , : , :
20instantiation24, 33  ⊢  
  :
21instantiation25, 26, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.add_7_2
23instantiation40, 38, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
25theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
26instantiation29, 31  ⊢  
  :
27instantiation30, 31, 32  ⊢  
  : , :
28instantiation40, 41, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
30theorem  ⊢  
 proveit.numbers.addition.commutation
31instantiation40, 34, 35  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat7
34theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
35instantiation40, 36, 37  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
37instantiation40, 38, 39  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
39instantiation40, 41, 42  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements