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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,  ⊢  
  : , : , :
1reference28  ⊢  
2reference29  ⊢  
3instantiation4, 5,  ⊢  
  :
4theorem  ⊢  
 proveit.trigonometry.real_closure
5instantiation6, 7, 8, 9,  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.division.div_real_closure
7instantiation28, 10, 11,  ⊢  
  : , : , :
8instantiation28, 12, 13  ⊢  
  : , : , :
9instantiation14, 15  ⊢  
  :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
11instantiation16, 17,  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
13instantiation28, 18, 19  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
15theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
16theorem  ⊢  
 proveit.numbers.absolute_value.abs_complex_closure
17instantiation20, 21, 22,  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
19instantiation28, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
21instantiation28, 29, 25  ⊢  
  : , : , :
22instantiation26, 27  ⊢  
  :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
25assumption  ⊢  
26theorem  ⊢  
 proveit.numbers.negation.complex_closure
27instantiation28, 29, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30assumption  ⊢