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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
2instantiation66, 31, 44  ⊢  
  : , : , :
3instantiation4, 5  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.negation.complex_closure
5instantiation6, 7, 8  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
7instantiation66, 31, 9  ⊢  
  : , : , :
8instantiation10, 11, 12  ⊢  
  : , : , :
9instantiation66, 40, 13  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
11instantiation18, 19, 14  ⊢  
  : , :
12instantiation15, 16, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.e_is_real_pos
14instantiation18, 27, 28  ⊢  
  : , :
15axiom  ⊢  
 proveit.logic.equality.equals_transitivity
16instantiation20, 65, 52, 21, 24, 22, 19, 27, 28  ⊢  
  : , : , : , : , : , :
17instantiation20, 21, 52, 22, 23, 24, 25, 26, 27, 28  ⊢  
  : , : , : , : , : , :
18theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
19instantiation66, 31, 29  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.multiplication.disassociation
21axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
22theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23instantiation30  ⊢  
  : , :
24instantiation30  ⊢  
  : , :
25instantiation66, 31, 34  ⊢  
  : , : , :
26instantiation66, 31, 35  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
28instantiation66, 31, 32  ⊢  
  : , : , :
29instantiation33, 34, 35  ⊢  
  : , :
30theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
31theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
32instantiation36, 37, 38  ⊢  
  : , :
33theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
34instantiation66, 50, 39  ⊢  
  : , : , :
35instantiation66, 40, 41  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
37instantiation42, 43, 44, 45  ⊢  
  : , : , :
38instantiation46, 47  ⊢  
  :
39instantiation66, 53, 48  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
41theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
42theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
43theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
44instantiation66, 50, 49  ⊢  
  : , : , :
45theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
46theorem  ⊢  
 proveit.numbers.negation.real_closure
47instantiation66, 50, 51  ⊢  
  : , : , :
48instantiation66, 64, 52  ⊢  
  : , : , :
49instantiation66, 53, 61  ⊢  
  : , : , :
50theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
51instantiation66, 53, 54  ⊢  
  : , : , :
52theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
53theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
54instantiation66, 55, 56  ⊢  
  : , : , :
55instantiation57, 58, 63  ⊢  
  : , :
56assumption  ⊢  
57theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
58instantiation59, 60, 61  ⊢  
  : , :
59theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
60instantiation62, 63  ⊢  
  :
61instantiation66, 64, 65  ⊢  
  : , : , :
62theorem  ⊢  
 proveit.numbers.negation.int_closure
63instantiation66, 67, 68  ⊢  
  : , : , :
64theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
65theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
66theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
67theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
68theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos