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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.addition.subtraction.subtract_from_add_reversed
2reference16  ⊢  
3reference15  ⊢  
4instantiation31, 21, 6  ⊢  
  : , : , :
5instantiation7, 8, 9  ⊢  
  : , : , :
6instantiation31, 25, 10  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
8instantiation11, 12, 13  ⊢  
  : , : , :
9instantiation14, 15, 16  ⊢  
  : , :
10instantiation31, 28, 17  ⊢  
  : , : , :
11axiom  ⊢  
 proveit.logic.equality.equals_transitivity
12instantiation18, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_2
14theorem  ⊢  
 proveit.numbers.addition.commutation
15instantiation31, 21, 20  ⊢  
  : , : , :
16instantiation31, 21, 22  ⊢  
  : , : , :
17instantiation31, 32, 23  ⊢  
  : , : , :
18axiom  ⊢  
 proveit.logic.equality.substitution
19theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_2
20instantiation31, 25, 24  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation31, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
24instantiation31, 28, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation31, 28, 29  ⊢  
  : , : , :
27instantiation31, 32, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation31, 32, 35  ⊢  
  : , : , :
30instantiation33, 34, 35  ⊢  
  : , :
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.addition.add_nat_closure_bin
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2