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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  ⊢  
  : , : , :
1reference41  ⊢  
2reference14  ⊢  
3instantiation4, 5, 6  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
5instantiation41, 26, 7  ⊢  
  : , : , :
6instantiation41, 8, 9  ⊢  
  : , : , :
7instantiation41, 28, 10  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
9instantiation11, 12  ⊢  
  :
10instantiation41, 39, 13  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.absolute_value.abs_complex_closure
12instantiation41, 14, 15  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation16, 17, 18  ⊢  
  : , :
16theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
17instantiation19, 20, 21, 22  ⊢  
  : , : , :
18instantiation23, 24  ⊢  
  :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
21instantiation41, 26, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
23theorem  ⊢  
 proveit.numbers.negation.real_closure
24instantiation41, 26, 27  ⊢  
  : , : , :
25instantiation41, 28, 36  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation41, 28, 29  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation41, 30, 31  ⊢  
  : , : , :
30instantiation32, 33, 38  ⊢  
  : , :
31assumption  ⊢  
32theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
33instantiation34, 35, 36  ⊢  
  : , :
34theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
35instantiation37, 38  ⊢  
  :
36instantiation41, 39, 40  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.negation.int_closure
38instantiation41, 42, 43  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
41theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
43theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos