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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  ⊢  
  : , : , :
1reference6  ⊢  
2instantiation4, 5  ⊢  
  : , : , :
3instantiation6, 7, 8  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation9, 22, 25  ⊢  
  : , :
6axiom  ⊢  
 proveit.logic.equality.equals_transitivity
7instantiation10, 11, 16, 12, 13, 17, 22, 18, 14, 19  ⊢  
  : , : , : , : , : , :
8instantiation15, 16, 59, 17, 22, 18, 19, 20  ⊢  
  : , : , : , : , : , : , : , :
9theorem  ⊢  
 proveit.numbers.negation.distribute_neg_through_binary_sum
10theorem  ⊢  
 proveit.numbers.addition.disassociation
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
12instantiation21  ⊢  
  : , :
13instantiation21  ⊢  
  : , :
14instantiation24, 22  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_general
16axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
17theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18instantiation60, 35, 23  ⊢  
  : , : , :
19instantiation24, 25  ⊢  
  :
20instantiation26  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22instantiation29, 27, 31, 32  ⊢  
  : , :
23instantiation28, 44  ⊢  
  :
24theorem  ⊢  
 proveit.numbers.negation.complex_closure
25instantiation29, 30, 31, 32  ⊢  
  : , :
26axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
27instantiation60, 35, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
29theorem  ⊢  
 proveit.numbers.division.div_complex_closure
30instantiation60, 35, 34  ⊢  
  : , : , :
31instantiation60, 35, 36  ⊢  
  : , : , :
32instantiation37, 43  ⊢  
  :
33instantiation60, 39, 38  ⊢  
  : , : , :
34instantiation60, 39, 40  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
36instantiation41, 42, 43  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
38instantiation60, 45, 44  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
40instantiation60, 45, 46  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
42instantiation47, 48  ⊢  
  : , :
43theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
44theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
45theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
46instantiation60, 49, 50  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
48theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
49instantiation51, 52, 57  ⊢  
  : , :
50assumption  ⊢  
51theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
52instantiation53, 54, 55  ⊢  
  : , :
53theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
54instantiation56, 57  ⊢  
  :
55instantiation60, 58, 59  ⊢  
  : , : , :
56theorem  ⊢  
 proveit.numbers.negation.int_closure
57instantiation60, 61, 62  ⊢  
  : , : , :
58theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
59theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
60theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
62theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos