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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, 4, 5, 6  ⊢  
  : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.division.mult_frac_cancel_denom_left
2instantiation46, 47, 7  ⊢  
  : , : , :
3instantiation8, 9, 10  ⊢  
  : , :
4instantiation46, 13, 11  ⊢  
  : , : , :
5instantiation46, 13, 12  ⊢  
  : , : , :
6instantiation46, 13, 14  ⊢  
  : , : , :
7instantiation46, 24, 15  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
9instantiation46, 47, 16  ⊢  
  : , : , :
10instantiation46, 47, 17  ⊢  
  : , : , :
11instantiation46, 19, 18  ⊢  
  : , : , :
12instantiation46, 19, 20  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
14instantiation46, 21, 22  ⊢  
  : , : , :
15instantiation46, 34, 23  ⊢  
  : , : , :
16instantiation46, 24, 25  ⊢  
  : , : , :
17instantiation46, 26, 32  ⊢  
  : , : , :
18instantiation46, 28, 27  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
20instantiation46, 28, 29  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
22instantiation30, 31, 32  ⊢  
  : , :
23instantiation46, 41, 33  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation46, 34, 35  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
27instantiation46, 37, 36  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
29instantiation46, 37, 38  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.multiplication.mult_real_pos_closure_bin
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
32instantiation39, 40  ⊢  
  :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
34theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
35instantiation46, 41, 42  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
38theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
39theorem  ⊢  
 proveit.numbers.absolute_value.abs_nonzero_closure
40instantiation43, 44, 45  ⊢  
  :
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
43theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
44instantiation46, 47, 48  ⊢  
  : , : , :
45assumption  ⊢  
46theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
48instantiation49, 50  ⊢  
  :
49theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
50theorem  ⊢  
 proveit.physics.quantum.QPE._best_round_is_int