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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.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
2instantiation4, 5, 6  ⊢  
  : , :
3instantiation7, 8, 9  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
5instantiation34, 11, 10  ⊢  
  : , : , :
6instantiation34, 11, 12  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
8instantiation34, 13, 14  ⊢  
  : , : , :
9instantiation34, 15, 23  ⊢  
  : , : , :
10instantiation34, 17, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation34, 17, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
14instantiation34, 19, 36  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
16instantiation34, 20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation34, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation34, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
23instantiation26, 27, 28  ⊢  
  : , :
24theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
26theorem  ⊢  
 proveit.numbers.multiplication.mult_rational_pos_closure_bin
27instantiation29, 30, 31  ⊢  
  : , :
28instantiation34, 35, 32  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
30instantiation34, 35, 33  ⊢  
  : , : , :
31instantiation34, 35, 36  ⊢  
  : , : , :
32assumption  ⊢  
33theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
36theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2