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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  ⊢  
  : , :
1reference4  ⊢  
2instantiation4, 5, 6  ⊢  
  : , :
3instantiation33, 16, 7  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
5theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
6instantiation8, 9, 10  ⊢  
  : , :
7instantiation11, 12, 13, 14  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
9instantiation33, 16, 15  ⊢  
  : , : , :
10instantiation33, 16, 17  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
12theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
13instantiation33, 20, 18  ⊢  
  : , : , :
14axiom  ⊢  
 proveit.physics.quantum.QPE._phase_in_interval
15instantiation33, 20, 19  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation33, 20, 21  ⊢  
  : , : , :
18instantiation33, 23, 32  ⊢  
  : , : , :
19instantiation33, 23, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation33, 23, 24  ⊢  
  : , : , :
22instantiation33, 34, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation26, 27, 28  ⊢  
  : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
26theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
27instantiation33, 29, 30  ⊢  
  : , : , :
28instantiation31, 32  ⊢  
  :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
30assumption  ⊢  
31theorem  ⊢  
 proveit.numbers.negation.int_closure
32instantiation33, 34, 35  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1