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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_23
2instantiation23, 6, 5  ⊢  
  : , : , :
3instantiation23, 6, 7  ⊢  
  : , : , :
4instantiation8  ⊢  
  :
5instantiation23, 16, 9  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation10, 11, 12, 13  ⊢  
  : , : , :
8axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
9instantiation23, 20, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
11instantiation23, 16, 15  ⊢  
  : , : , :
12instantiation23, 16, 17  ⊢  
  : , : , :
13assumption  ⊢  
14instantiation23, 24, 18  ⊢  
  : , : , :
15instantiation23, 20, 19  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation23, 20, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
19instantiation23, 24, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation23, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
23theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5