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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation5, 50, 37, 6, 9, 7, 4, 12, 13  ⊢  
  : , : , : , : , : , :
3instantiation5, 6, 37, 7, 8, 9, 10, 11, 12, 13  ⊢  
  : , : , : , : , : , :
4instantiation51, 16, 14  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.multiplication.disassociation
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation15  ⊢  
  : , :
9instantiation15  ⊢  
  : , :
10instantiation51, 16, 19  ⊢  
  : , : , :
11instantiation51, 16, 20  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
13instantiation51, 16, 17  ⊢  
  : , : , :
14instantiation18, 19, 20  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation21, 22, 23  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
19instantiation51, 35, 24  ⊢  
  : , : , :
20instantiation51, 25, 26  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
22instantiation27, 28, 29, 30  ⊢  
  : , : , :
23instantiation31, 32  ⊢  
  :
24instantiation51, 38, 33  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
29instantiation51, 35, 34  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
31theorem  ⊢  
 proveit.numbers.negation.real_closure
32instantiation51, 35, 36  ⊢  
  : , : , :
33instantiation51, 49, 37  ⊢  
  : , : , :
34instantiation51, 38, 46  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
36instantiation51, 38, 39  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
38theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
39instantiation51, 40, 41  ⊢  
  : , : , :
40instantiation42, 43, 48  ⊢  
  : , :
41assumption  ⊢  
42theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
43instantiation44, 45, 46  ⊢  
  : , :
44theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
45instantiation47, 48  ⊢  
  :
46instantiation51, 49, 50  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.negation.int_closure
48instantiation51, 52, 53  ⊢  
  : , : , :
49theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
50theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
51theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
53theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos