Show the Proof

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

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	reference	39	⊢
2	instantiation	4, 74, 5, 6, 7, 8	⊢
	: , : , : , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	55	⊢
	: , :
6	instantiation	55	⊢
	: , :
7	instantiation	9, 10	⊢
	:
8	instantiation	11, 12, 13*	⊢
	:
9	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
10	instantiation	14, 90	⊢
	:
11	theorem		⊢
	proveit.numbers.absolute_value.abs_even
12	instantiation	15, 16, 17	⊢
	: , :
13	instantiation	18, 19, 20*	⊢
	:
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
15	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
16	instantiation	91, 59, 21	⊢
	: , : , :
17	instantiation	24, 22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
19	instantiation	24, 25, 26	⊢
	: , : , :
20	instantiation	27, 28	⊢
	: , :
21	instantiation	91, 62, 29	⊢
	: , : , :
22	instantiation	35, 36, 30	⊢
	: , :
23	instantiation	39, 31, 32	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.equality.sub_right_side_into
25	instantiation	54, 42, 60	⊢
	: , :
26	instantiation	37, 47, 74, 90, 49, 44, 51, 52, 53	⊢
	: , : , : , : , : , :
27	theorem		⊢
	proveit.logic.equality.equals_reversal
28	instantiation	33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
30	instantiation	35, 50, 53	⊢
	: , :
31	instantiation	37, 90, 74, 47, 38, 49, 36, 50, 53	⊢
	: , : , : , : , : , :
32	instantiation	37, 47, 74, 49, 44, 38, 51, 52, 50, 53	⊢
	: , : , : , : , : , :
33	axiom		⊢
	proveit.logic.equality.substitution
34	instantiation	39, 40, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
36	instantiation	91, 59, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.disassociation
38	instantiation	55	⊢
	: , :
39	axiom		⊢
	proveit.logic.equality.equals_transitivity
40	instantiation	43, 47, 74, 90, 49, 44, 51, 52, 50, 53	⊢
	: , : , : , : , : , : , :
41	instantiation	45, 90, 46, 47, 48, 49, 50, 51, 52, 53	⊢
	: , : , : , : , : , :
42	instantiation	54, 57, 58	⊢
	: , :
43	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
44	instantiation	55	⊢
	: , :
45	theorem		⊢
	proveit.numbers.multiplication.association
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
47	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
48	instantiation	56	⊢
	: , : , :
49	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
51	instantiation	91, 59, 57	⊢
	: , : , :
52	instantiation	91, 59, 58	⊢
	: , : , :
53	instantiation	91, 59, 60	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
55	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
56	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
57	instantiation	91, 76, 61	⊢
	: , : , :
58	instantiation	91, 62, 63	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
60	instantiation	64, 65, 66	⊢
	: , :
61	instantiation	91, 78, 67	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
64	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
65	instantiation	68, 69, 70, 71	⊢
	: , : , :
66	instantiation	72, 73	⊢
	:
67	instantiation	91, 89, 74	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
70	instantiation	91, 76, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
72	theorem		⊢
	proveit.numbers.negation.real_closure
73	instantiation	91, 76, 77	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
75	instantiation	91, 78, 86	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	91, 78, 79	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
79	instantiation	91, 80, 81	⊢
	: , : , :
80	instantiation	82, 83, 88	⊢
	: , :
81	assumption		⊢
82	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
83	instantiation	84, 85, 86	⊢
	: , :
84	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
85	instantiation	87, 88	⊢
	:
86	instantiation	91, 89, 90	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.negation.int_closure
88	instantiation	91, 92, 93	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
93	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements