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