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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  ⊢  
  : , : , :
1reference46  ⊢  
2reference40  ⊢  
3instantiation46, 42, 4  ⊢  
  : , : , :
4instantiation46, 44, 5  ⊢  
  : , : , :
5instantiation46, 6, 7  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
7instantiation8, 20, 9, 10, 11  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
9instantiation13, 20, 12  ⊢  
  :
10instantiation13, 48, 14  ⊢  
  :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
12instantiation17, 15, 16  ⊢  
  : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.n_in_digits
14instantiation17, 18, 19  ⊢  
  : , :
15instantiation30, 20  ⊢  
  :
16instantiation21, 22  ⊢  
  :
17theorem  ⊢  
 proveit.logic.booleans.conjunction.and_if_both
18instantiation30, 48  ⊢  
  :
19instantiation23, 41, 24, 25, 26, 27*, 28*  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
21theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
22theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat9
23theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_left_term_bound
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
25instantiation46, 42, 29  ⊢  
  : , : , :
26instantiation30, 39  ⊢  
  :
27instantiation31, 32, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.add_7_2
29instantiation46, 44, 34  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
31theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
32instantiation35, 37  ⊢  
  :
33instantiation36, 37, 38  ⊢  
  : , :
34instantiation46, 47, 39  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
36theorem  ⊢  
 proveit.numbers.addition.commutation
37instantiation46, 40, 41  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat7
40theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
41instantiation46, 42, 43  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
43instantiation46, 44, 45  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
45instantiation46, 47, 48  ⊢  
  : , : , :
46theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
48theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements