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*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.absolute_value.triangle_inequality
2	instantiation	95, 63, 74	⊢
	: , : , :
3	instantiation	5, 16	⊢
	:
4	instantiation	43, 6, 7	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.negation.complex_closure
6	instantiation	8, 78, 9, 10, 11, 12	⊢
	: , : , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
8	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
9	instantiation	59	⊢
	: , :
10	instantiation	59	⊢
	: , :
11	instantiation	13, 14	⊢
	:
12	instantiation	15, 16, 17*	⊢
	:
13	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
14	instantiation	18, 94	⊢
	:
15	theorem		⊢
	proveit.numbers.absolute_value.abs_even
16	instantiation	19, 20, 21	⊢
	: , :
17	instantiation	22, 23, 24*	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	instantiation	95, 63, 25	⊢
	: , : , :
21	instantiation	28, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
23	instantiation	28, 29, 30	⊢
	: , : , :
24	instantiation	31, 32	⊢
	: , :
25	instantiation	95, 66, 33	⊢
	: , : , :
26	instantiation	39, 40, 34	⊢
	: , :
27	instantiation	43, 35, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.sub_right_side_into
29	instantiation	58, 46, 64	⊢
	: , :
30	instantiation	41, 51, 78, 94, 53, 48, 55, 56, 57	⊢
	: , : , : , : , : , :
31	theorem		⊢
	proveit.logic.equality.equals_reversal
32	instantiation	37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
34	instantiation	39, 54, 57	⊢
	: , :
35	instantiation	41, 94, 78, 51, 42, 53, 40, 54, 57	⊢
	: , : , : , : , : , :
36	instantiation	41, 51, 78, 53, 48, 42, 55, 56, 54, 57	⊢
	: , : , : , : , : , :
37	axiom		⊢
	proveit.logic.equality.substitution
38	instantiation	43, 44, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
40	instantiation	95, 63, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.multiplication.disassociation
42	instantiation	59	⊢
	: , :
43	axiom		⊢
	proveit.logic.equality.equals_transitivity
44	instantiation	47, 51, 78, 94, 53, 48, 55, 56, 54, 57	⊢
	: , : , : , : , : , : , :
45	instantiation	49, 94, 50, 51, 52, 53, 54, 55, 56, 57	⊢
	: , : , : , : , : , :
46	instantiation	58, 61, 62	⊢
	: , :
47	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
48	instantiation	59	⊢
	: , :
49	theorem		⊢
	proveit.numbers.multiplication.association
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
51	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
52	instantiation	60	⊢
	: , : , :
53	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
55	instantiation	95, 63, 61	⊢
	: , : , :
56	instantiation	95, 63, 62	⊢
	: , : , :
57	instantiation	95, 63, 64	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
59	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
60	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
61	instantiation	95, 80, 65	⊢
	: , : , :
62	instantiation	95, 66, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
64	instantiation	68, 69, 70	⊢
	: , :
65	instantiation	95, 82, 71	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
68	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
69	instantiation	72, 73, 74, 75	⊢
	: , : , :
70	instantiation	76, 77	⊢
	:
71	instantiation	95, 93, 78	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
74	instantiation	95, 80, 79	⊢
	: , : , :
75	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
76	theorem		⊢
	proveit.numbers.negation.real_closure
77	instantiation	95, 80, 81	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
79	instantiation	95, 82, 90	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
81	instantiation	95, 82, 83	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
83	instantiation	95, 84, 85	⊢
	: , : , :
84	instantiation	86, 87, 92	⊢
	: , :
85	assumption		⊢
86	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
87	instantiation	88, 89, 90	⊢
	: , :
88	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
89	instantiation	91, 92	⊢
	:
90	instantiation	95, 93, 94	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.negation.int_closure
92	instantiation	95, 96, 97	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
97	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements