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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  ⊢  
  : , :
1reference5  ⊢  
2instantiation52, 29, 4  ⊢  
  : , : , :
3instantiation5, 6, 7  ⊢  
  : , :
4instantiation8, 9, 10  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
7instantiation11, 12, 13  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
9instantiation52, 32, 14  ⊢  
  : , : , :
10instantiation52, 15, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
12instantiation52, 29, 17  ⊢  
  : , : , :
13instantiation18, 19  ⊢  
  :
14instantiation52, 37, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
17instantiation21, 22  ⊢  
  :
18theorem  ⊢  
 proveit.numbers.negation.complex_closure
19instantiation23, 24, 25, 26  ⊢  
  : , :
20instantiation52, 50, 27  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
22theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
23theorem  ⊢  
 proveit.numbers.division.div_complex_closure
24instantiation52, 29, 28  ⊢  
  : , : , :
25instantiation52, 29, 30  ⊢  
  : , : , :
26instantiation31, 36  ⊢  
  :
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
28instantiation52, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30instantiation34, 35, 36  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
33instantiation52, 37, 38  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
35instantiation39, 40  ⊢  
  : , :
36theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
37theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
38instantiation52, 41, 42  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
40theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
41instantiation43, 44, 49  ⊢  
  : , :
42assumption  ⊢  
43theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
44instantiation45, 46, 47  ⊢  
  : , :
45theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
46instantiation48, 49  ⊢  
  :
47instantiation52, 50, 51  ⊢  
  : , : , :
48theorem  ⊢  
 proveit.numbers.negation.int_closure
49instantiation52, 53, 54  ⊢  
  : , : , :
50theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
51theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
52theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
54theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos