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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.numbers.numerals.decimals.n_in_digits
2reference32  ⊢  
3instantiation4, 5, 6  ⊢  
  : , :
4theorem  ⊢  
 proveit.logic.booleans.conjunction.and_if_both
5instantiation14, 32  ⊢  
  :
6instantiation7, 25, 8, 9, 10, 11*, 12*  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_left_term_bound
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
9instantiation30, 26, 13  ⊢  
  : , : , :
10instantiation14, 23  ⊢  
  :
11instantiation15, 16, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.add_7_2
13instantiation30, 28, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
15theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
16instantiation19, 21  ⊢  
  :
17instantiation20, 21, 22  ⊢  
  : , :
18instantiation30, 31, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
20theorem  ⊢  
 proveit.numbers.addition.commutation
21instantiation30, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat7
24theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
25instantiation30, 26, 27  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation30, 28, 29  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation30, 31, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements