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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,  ⊢  
  :
1theorem  ⊢  
 proveit.trigonometry.real_closure
2instantiation3, 4, 5, 6,  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.division.div_real_closure
4instantiation25, 7, 8,  ⊢  
  : , : , :
5instantiation25, 9, 10  ⊢  
  : , : , :
6instantiation11, 12  ⊢  
  :
7theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
8instantiation13, 14,  ⊢  
  :
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
10instantiation25, 15, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
13theorem  ⊢  
 proveit.numbers.absolute_value.abs_complex_closure
14instantiation17, 18, 19,  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
16instantiation25, 20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
18instantiation25, 26, 22  ⊢  
  : , : , :
19instantiation23, 24  ⊢  
  :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
22assumption  ⊢  
23theorem  ⊢  
 proveit.numbers.negation.complex_closure
24instantiation25, 26, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
27assumption  ⊢