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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,  ⊢  
  : , :
1reference12  ⊢  
2instantiation28, 17, 4  ⊢  
  : , : , :
3instantiation5, 6,  ⊢  
  :
4instantiation28, 22, 7  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.negation.complex_closure
6instantiation8, 9, 10,  ⊢  
  : , :
7instantiation28, 26, 11  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
9assumption  ⊢  
10instantiation12, 13, 14  ⊢  
  : , :
11instantiation28, 29, 15  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
13instantiation28, 17, 16  ⊢  
  : , : , :
14instantiation28, 17, 18  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
16instantiation19, 20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation28, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
20instantiation24, 25  ⊢  
  : , :
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation28, 26, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_within_real
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation28, 29, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2