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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  ⊢  
  : , : , :
1reference42  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
3instantiation4, 16, 5, 6, 7  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
5instantiation9, 16, 8  ⊢  
  :
6instantiation9, 44, 10  ⊢  
  :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
8instantiation13, 11, 12  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.numerals.decimals.n_in_digits
10instantiation13, 14, 15  ⊢  
  : , :
11instantiation26, 16  ⊢  
  :
12instantiation17, 18  ⊢  
  :
13theorem  ⊢  
 proveit.logic.booleans.conjunction.and_if_both
14instantiation26, 44  ⊢  
  :
15instantiation19, 37, 20, 21, 22, 23*, 24*  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
17theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
18theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat9
19theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_left_term_bound
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
21instantiation42, 38, 25  ⊢  
  : , : , :
22instantiation26, 35  ⊢  
  :
23instantiation27, 28, 29  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.numerals.decimals.add_4_5
25instantiation42, 40, 30  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
27theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
28instantiation31, 33  ⊢  
  :
29instantiation32, 33, 34  ⊢  
  : , :
30instantiation42, 43, 35  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
32theorem  ⊢  
 proveit.numbers.addition.commutation
33instantiation42, 36, 37  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
36theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
37instantiation42, 38, 39  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
39instantiation42, 40, 41  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
41instantiation42, 43, 44  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
*equality replacement requirements