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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,  ⊢  
  : , : , : , :
1axiom  ⊢  
 proveit.numbers.summation.sum_split_last
2reference21  ⊢  
3instantiation26, 27, 5  ⊢  
  : , : , :
4instantiation6, 7, 8,  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat9
6theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
7instantiation9, 10, 11, 12, 13, 14,  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.add_7_2
9theorem  ⊢  
 proveit.numbers.ordering.less_eq_add_right_strong
10instantiation26, 17, 15  ⊢  
  : , : , :
11instantiation26, 17, 16  ⊢  
  : , : , :
12instantiation26, 17, 18  ⊢  
  : , : , :
13assumption  ⊢  
14instantiation19, 20  ⊢  
  :
15instantiation26, 23, 21  ⊢  
  : , : , :
16instantiation26, 23, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation26, 23, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
20theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
21assumption  ⊢  
22instantiation26, 27, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation26, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat7
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2