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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  ⊢  
  : , : , :
1reference54  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
3instantiation15, 4  ⊢  
  :
4instantiation5, 6, 35, 7  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.modular.mod_abs_real_closure
6instantiation8, 9, 10  ⊢  
  : , :
7instantiation11, 12, 13  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
9instantiation54, 44, 14  ⊢  
  : , : , :
10instantiation15, 16  ⊢  
  :
11theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
12instantiation54, 18, 17  ⊢  
  : , : , :
13instantiation54, 18, 19  ⊢  
  : , : , :
14instantiation54, 49, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.negation.real_closure
16instantiation54, 44, 21  ⊢  
  : , : , :
17instantiation54, 23, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
19instantiation54, 23, 53  ⊢  
  : , : , :
20instantiation54, 24, 25  ⊢  
  : , : , :
21instantiation54, 49, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
24instantiation27, 28, 29  ⊢  
  : , :
25assumption  ⊢  
26instantiation30, 31  ⊢  
  :
27theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
28theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
29instantiation32, 43, 33  ⊢  
  : , :
30axiom  ⊢  
 proveit.numbers.rounding.floor_is_an_int
31instantiation34, 35, 36  ⊢  
  : , :
32theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
33instantiation37, 50  ⊢  
  :
34theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
35instantiation54, 44, 38  ⊢  
  : , : , :
36instantiation39, 40, 41, 42  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.negation.int_closure
38instantiation54, 49, 43  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
40theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
41instantiation54, 44, 45  ⊢  
  : , : , :
42axiom  ⊢  
 proveit.physics.quantum.QPE._phase_in_interval
43instantiation46, 47, 48  ⊢  
  : , :
44theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
45instantiation54, 49, 50  ⊢  
  : , : , :
46theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
47instantiation54, 55, 51  ⊢  
  : , : , :
48instantiation54, 52, 53  ⊢  
  : , : , :
49theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
50instantiation54, 55, 56  ⊢  
  : , : , :
51theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
52theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
53axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
54theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
56theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1