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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
2reference13  ⊢  
3instantiation9, 4, 5  ⊢  
  : , :
4instantiation11, 6, 13, 14  ⊢  
  : , :
5instantiation7, 8  ⊢  
  :
6instantiation9, 12, 10  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.negation.complex_closure
8instantiation11, 12, 13, 14  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
10instantiation33, 17, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.division.div_complex_closure
12instantiation33, 17, 16  ⊢  
  : , : , :
13instantiation33, 17, 18  ⊢  
  : , : , :
14instantiation19, 20  ⊢  
  :
15instantiation33, 25, 21  ⊢  
  : , : , :
16instantiation22, 23, 24  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation33, 25, 26  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
20theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
21instantiation33, 30, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
23instantiation28, 29  ⊢  
  : , :
24assumption  ⊢  
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation33, 30, 31  ⊢  
  : , : , :
27instantiation33, 34, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31instantiation33, 34, 35  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2