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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.mult_complex_closure_bin
2instantiation28, 19, 4  ⊢  
  : , : , :
3instantiation5, 6, 7  ⊢  
  : , :
4instantiation8, 9, 11, 10  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
6instantiation28, 19, 11  ⊢  
  : , : , :
7instantiation12, 13  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.division.div_real_closure
9instantiation28, 17, 14  ⊢  
  : , : , :
10instantiation15, 16  ⊢  
  :
11instantiation28, 17, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.negation.complex_closure
13instantiation28, 19, 20  ⊢  
  : , : , :
14instantiation28, 22, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
16theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation28, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation24, 25, 26  ⊢  
  : , : , :
21instantiation28, 29, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation28, 29, 30  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
25instantiation31, 32  ⊢  
  : , :
26axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
31theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real