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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  ⊢  
2instantiation43, 11, 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
7instantiation43, 11, 12  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
9instantiation43, 28, 13  ⊢  
  : , : , :
10instantiation43, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation16, 17, 18  ⊢  
  : , :
13instantiation43, 30, 19  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
16theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
17instantiation20, 21, 22, 23  ⊢  
  : , : , :
18instantiation24, 25  ⊢  
  :
19instantiation43, 41, 26  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
22instantiation43, 28, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
24theorem  ⊢  
 proveit.numbers.negation.real_closure
25instantiation43, 28, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
27instantiation43, 30, 38  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation43, 30, 31  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31instantiation43, 32, 33  ⊢  
  : , : , :
32instantiation34, 35, 40  ⊢  
  : , :
33assumption  ⊢  
34theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
35instantiation36, 37, 38  ⊢  
  : , :
36theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
37instantiation39, 40  ⊢  
  :
38instantiation43, 41, 42  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.negation.int_closure
40instantiation43, 44, 45  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
43theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
45theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos