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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.multiplication.commutation
2instantiation4, 5, 6  ⊢  
  : , :
3instantiation7, 12, 11, 8  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
5instantiation10, 11, 9  ⊢  
  : , :
6instantiation10, 11, 12  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.division.div_complex_closure
8instantiation13, 14  ⊢  
  :
9instantiation31, 17, 15  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
11instantiation31, 17, 16  ⊢  
  : , : , :
12instantiation31, 17, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
15instantiation19, 20, 21  ⊢  
  : , : , :
16instantiation31, 23, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation31, 23, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
20instantiation25, 26  ⊢  
  : , :
21assumption  ⊢  
22instantiation31, 28, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation31, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27instantiation31, 32, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation31, 32, 33  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1