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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  ⊢  
  : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.division.mult_frac_cancel_numer_left
2instantiation37, 7, 6  ⊢  
  : , : , :
3instantiation37, 7, 8  ⊢  
  : , : , :
4instantiation37, 10, 9  ⊢  
  : , : , :
5instantiation37, 10, 11  ⊢  
  : , : , :
6instantiation37, 13, 12  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
8instantiation37, 13, 14  ⊢  
  : , : , :
9instantiation37, 16, 15  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
11instantiation37, 16, 17  ⊢  
  : , : , :
12instantiation37, 18, 32  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
14instantiation37, 18, 19  ⊢  
  : , : , :
15instantiation37, 21, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
17instantiation37, 21, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
19instantiation37, 23, 24  ⊢  
  : , : , :
20instantiation37, 26, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22instantiation37, 26, 27  ⊢  
  : , : , :
23instantiation28, 29, 34  ⊢  
  : , :
24assumption  ⊢  
25theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
28theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
29instantiation30, 31, 32  ⊢  
  : , :
30theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
31instantiation33, 34  ⊢  
  :
32instantiation37, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.negation.int_closure
34instantiation37, 38, 39  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
39theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos