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*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.complex_power_of_complex_power
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
3	instantiation	6, 7, 8	⊢
	: , : , :
4	reference	45	⊢
5	instantiation	18, 19, 9, 72, 20, 10, 23, 24, 25, 26, 45	⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.logic.equality.sub_right_side_into
7	instantiation	16, 17, 11	⊢
	: , :
8	instantiation	12, 13, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
10	instantiation	15	⊢
	: , : , : , :
11	instantiation	16, 25, 26	⊢
	: , :
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	18, 72, 52, 19, 22, 20, 17, 25, 26	⊢
	: , : , : , : , : , :
14	instantiation	18, 19, 52, 20, 21, 22, 23, 24, 25, 26	⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
16	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
17	instantiation	73, 49, 27	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.disassociation
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	28	⊢
	: , :
22	instantiation	28	⊢
	: , :
23	instantiation	73, 49, 33	⊢
	: , : , :
24	instantiation	73, 49, 34	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
26	instantiation	29, 30, 31	⊢
	: , :
27	instantiation	32, 33, 34	⊢
	: , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
30	instantiation	73, 49, 35	⊢
	: , : , :
31	instantiation	36, 37	⊢
	:
32	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
33	instantiation	73, 53, 38	⊢
	: , : , :
34	instantiation	73, 39, 40	⊢
	: , : , :
35	instantiation	41, 42	⊢
	:
36	theorem		⊢
	proveit.numbers.negation.complex_closure
37	instantiation	43, 44, 45, 46	⊢
	: , :
38	instantiation	73, 58, 47	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
41	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
42	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
43	theorem		⊢
	proveit.numbers.division.div_complex_closure
44	instantiation	73, 49, 48	⊢
	: , : , :
45	instantiation	73, 49, 50	⊢
	: , : , :
46	instantiation	51, 57	⊢
	:
47	instantiation	73, 71, 52	⊢
	: , : , :
48	instantiation	73, 53, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	instantiation	55, 56, 57	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
54	instantiation	73, 58, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
56	instantiation	60, 61	⊢
	: , :
57	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
59	instantiation	73, 62, 63	⊢
	: , : , :
60	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
62	instantiation	64, 65, 70	⊢
	: , :
63	assumption		⊢
64	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
65	instantiation	66, 67, 68	⊢
	: , :
66	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
67	instantiation	69, 70	⊢
	:
68	instantiation	73, 71, 72	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.negation.int_closure
70	instantiation	73, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
75	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements