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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, 6*, 7*  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
2reference21  ⊢  
3theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
4instantiation26, 22, 8  ⊢  
  : , : , :
5instantiation9, 10  ⊢  
  :
6instantiation11, 12, 13  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.add_8_1
8instantiation26, 24, 14  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
10theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat8
11theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
12instantiation15, 17  ⊢  
  :
13instantiation16, 17, 18  ⊢  
  : , :
14instantiation26, 27, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
16theorem  ⊢  
 proveit.numbers.addition.commutation
17instantiation26, 20, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
19theorem  ⊢  
 proveit.numbers.numerals.decimals.nat8
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation26, 22, 23  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation26, 24, 25  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25instantiation26, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements