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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,  ⊢  
  : , : , :
1reference31  ⊢  
2instantiation4, 5, 6,  ⊢  
  : , : , :
3instantiation7, 8, 9, 10  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_eq_less
5instantiation11, 12, 13, 14,  ⊢  
  : , : , :
6instantiation15, 16  ⊢  
  :
7theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
9instantiation47, 17, 18  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
11theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_upper_bound
12instantiation40, 19, 36  ⊢  
  : , :
13instantiation45, 20  ⊢  
  :
14assumption  ⊢  
15theorem  ⊢  
 proveit.numbers.number_sets.integers.negative_if_in_neg_int
16instantiation21, 22  ⊢  
  :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation47, 23, 36  ⊢  
  : , : , :
19instantiation45, 41  ⊢  
  :
20instantiation40, 28, 36  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
22instantiation24, 25, 26  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
25instantiation27, 28, 29  ⊢  
  :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
27theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
28instantiation47, 30, 38  ⊢  
  : , : , :
29instantiation31, 32, 33  ⊢  
  : , : , :
30instantiation34, 36, 37  ⊢  
  : , :
31theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
32theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
33instantiation35, 36, 37, 38  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
35theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
36instantiation47, 48, 39  ⊢  
  : , : , :
37instantiation40, 41, 42  ⊢  
  : , :
38assumption  ⊢  
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
40theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
41instantiation47, 43, 44  ⊢  
  : , : , :
42instantiation45, 46  ⊢  
  :
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
44theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
45theorem  ⊢  
 proveit.numbers.negation.int_closure
46instantiation47, 48, 49  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
49theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2