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	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
2	instantiation	60, 35, 4	⊢
	: , : , :
3	instantiation	12, 5, 6	,  ⊢
	: , : , :
4	instantiation	60, 40, 7	⊢
	: , : , :
5	instantiation	28, 15, 8	,  ⊢
	: , :
6	instantiation	9, 10, 11	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
8	instantiation	12, 13, 14	,  ⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	20, 62, 16, 21, 18, 22, 15, 29, 30, 24	,  ⊢
	: , : , : , : , : , :
11	instantiation	20, 21, 57, 16, 22, 17, 18, 25, 26, 29, 30, 24	,  ⊢
	: , : , : , : , : , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	28, 19, 24	,  ⊢
	: , :
14	instantiation	20, 21, 57, 62, 22, 23, 29, 30, 24	,  ⊢
	: , : , : , : , : , :
15	instantiation	28, 25, 26	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
17	instantiation	31	⊢
	: , :
18	instantiation	27	⊢
	: , : , :
19	instantiation	28, 29, 30	⊢
	: , :
20	theorem		⊢
	proveit.numbers.multiplication.disassociation
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	31	⊢
	: , :
24	instantiation	60, 35, 32	,  ⊢
	: , : , :
25	instantiation	60, 35, 33	⊢
	: , : , :
26	instantiation	60, 35, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
30	instantiation	60, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	instantiation	60, 38, 37	,  ⊢
	: , : , :
33	instantiation	60, 38, 39	⊢
	: , : , :
34	instantiation	60, 40, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
37	instantiation	60, 43, 42	,  ⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	60, 43, 53	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
42	instantiation	60, 44, 45	,  ⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	46, 47, 48	⊢
	: , :
45	assumption		⊢
46	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
47	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
48	instantiation	49, 50, 51	⊢
	: , :
49	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
50	instantiation	52, 53, 54	⊢
	: , :
51	instantiation	55, 56	⊢
	:
52	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
53	instantiation	60, 61, 57	⊢
	: , : , :
54	instantiation	60, 58, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.negation.int_closure
56	instantiation	60, 61, 62	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
58	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
59	assumption		⊢
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat1