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	24	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8, 63, 9*	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	24, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.exponentiation.complex_power_of_complex_power
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
8	instantiation	12, 13, 14	⊢
	: , : , :
9	instantiation	33, 34, 15, 90, 35, 16, 38, 39, 40, 41, 63	⊢
	: , : , : , : , : , :
10	instantiation	17, 34, 70, 90, 35, 18, 63, 19, 21	⊢
	: , : , : , : , : , :
11	instantiation	20, 21, 63, 22	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	31, 32, 23	⊢
	: , :
14	instantiation	24, 25, 26	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
16	instantiation	27	⊢
	: , : , : , :
17	theorem		⊢
	proveit.numbers.addition.disassociation
18	instantiation	45	⊢
	: , :
19	instantiation	91, 67, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
21	instantiation	91, 67, 29	⊢
	: , : , :
22	instantiation	30	⊢
	:
23	instantiation	31, 40, 41	⊢
	: , :
24	axiom		⊢
	proveit.logic.equality.equals_transitivity
25	instantiation	33, 90, 70, 34, 37, 35, 32, 40, 41	⊢
	: , : , : , : , : , :
26	instantiation	33, 34, 70, 35, 36, 37, 38, 39, 40, 41	⊢
	: , : , : , : , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
28	instantiation	91, 71, 42	⊢
	: , : , :
29	instantiation	91, 71, 43	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_reflexivity
31	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
32	instantiation	91, 67, 44	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.multiplication.disassociation
34	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	instantiation	45	⊢
	: , :
37	instantiation	45	⊢
	: , :
38	instantiation	91, 67, 51	⊢
	: , : , :
39	instantiation	91, 67, 52	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
41	instantiation	46, 47, 48	⊢
	: , :
42	instantiation	91, 76, 49	⊢
	: , : , :
43	instantiation	91, 76, 86	⊢
	: , : , :
44	instantiation	50, 51, 52	⊢
	: , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
46	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
47	instantiation	91, 67, 53	⊢
	: , : , :
48	instantiation	54, 55	⊢
	:
49	instantiation	87, 86	⊢
	:
50	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
51	instantiation	91, 71, 56	⊢
	: , : , :
52	instantiation	91, 57, 58	⊢
	: , : , :
53	instantiation	59, 60	⊢
	:
54	theorem		⊢
	proveit.numbers.negation.complex_closure
55	instantiation	61, 62, 63, 64	⊢
	: , :
56	instantiation	91, 76, 65	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
59	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
60	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
61	theorem		⊢
	proveit.numbers.division.div_complex_closure
62	instantiation	91, 67, 66	⊢
	: , : , :
63	instantiation	91, 67, 68	⊢
	: , : , :
64	instantiation	69, 75	⊢
	:
65	instantiation	91, 89, 70	⊢
	: , : , :
66	instantiation	91, 71, 72	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
68	instantiation	73, 74, 75	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
72	instantiation	91, 76, 77	⊢
	: , : , :
73	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
74	instantiation	78, 79	⊢
	: , :
75	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
77	instantiation	91, 80, 81	⊢
	: , : , :
78	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
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