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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.numbers.division.frac_one_denom
2instantiation53, 3, 4  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
4instantiation5, 6, 26, 7  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.modular.mod_abs_real_closure
6instantiation8, 9, 10  ⊢  
  : , :
7instantiation11, 12  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
9instantiation13, 14, 15, 16  ⊢  
  : , :
10instantiation17, 18  ⊢  
  :
11theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
13theorem  ⊢  
 proveit.numbers.division.div_real_closure
14instantiation53, 32, 19  ⊢  
  : , : , :
15instantiation53, 32, 20  ⊢  
  : , : , :
16instantiation21, 22, 23  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.negation.real_closure
18instantiation24, 25, 26, 27  ⊢  
  : , : , :
19instantiation53, 38, 28  ⊢  
  : , : , :
20instantiation53, 38, 43  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
22instantiation53, 30, 29  ⊢  
  : , : , :
23instantiation53, 30, 31  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
26instantiation53, 32, 33  ⊢  
  : , : , :
27axiom  ⊢  
 proveit.physics.quantum.QPE._phase_in_interval
28instantiation53, 34, 35  ⊢  
  : , : , :
29instantiation53, 37, 36  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
31instantiation53, 37, 52  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
33instantiation53, 38, 49  ⊢  
  : , : , :
34instantiation39, 40, 41  ⊢  
  : , :
35assumption  ⊢  
36theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
38theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
39theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
40theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
41instantiation42, 43, 44  ⊢  
  : , :
42theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
43instantiation45, 46, 47  ⊢  
  : , :
44instantiation48, 49  ⊢  
  :
45theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
46instantiation53, 54, 50  ⊢  
  : , : , :
47instantiation53, 51, 52  ⊢  
  : , : , :
48theorem  ⊢  
 proveit.numbers.negation.int_closure
49instantiation53, 54, 55  ⊢  
  : , : , :
50theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
51theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
52axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
53theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
55theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1