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.exponentiation.product_of_complex_powers
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
3	instantiation	19, 5, 6	,  ⊢
	: , : , :
4	instantiation	19, 7, 8	⊢
	: , : , :
5	instantiation	37, 22, 9	,  ⊢
	: , :
6	instantiation	13, 10, 11	,  ⊢
	: , : , :
7	instantiation	37, 22, 12	⊢
	: , :
8	instantiation	13, 14, 15	⊢
	: , : , :
9	instantiation	19, 16, 17	,  ⊢
	: , : , :
10	instantiation	28, 72, 23, 29, 18, 30, 22, 38, 39, 26	,  ⊢
	: , : , : , : , : , :
11	instantiation	28, 29, 67, 23, 30, 24, 18, 33, 34, 38, 39, 26	,  ⊢
	: , : , : , : , : , :
12	instantiation	19, 20, 21	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	28, 72, 23, 29, 25, 30, 22, 38, 39, 32	⊢
	: , : , : , : , : , :
15	instantiation	28, 29, 67, 23, 30, 24, 25, 33, 34, 38, 39, 32	⊢
	: , : , : , : , : , :
16	instantiation	37, 27, 26	,  ⊢
	: , :
17	instantiation	28, 29, 67, 72, 30, 31, 38, 39, 26	,  ⊢
	: , : , : , : , : , :
18	instantiation	35	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.equality.sub_right_side_into
20	instantiation	37, 27, 32	⊢
	: , :
21	instantiation	28, 29, 67, 72, 30, 31, 38, 39, 32	⊢
	: , : , : , : , : , :
22	instantiation	37, 33, 34	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
24	instantiation	40	⊢
	: , :
25	instantiation	35	⊢
	: , : , :
26	instantiation	70, 45, 36	,  ⊢
	: , : , :
27	instantiation	37, 38, 39	⊢
	: , :
28	theorem		⊢
	proveit.numbers.multiplication.disassociation
29	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	instantiation	40	⊢
	: , :
32	instantiation	70, 45, 41	⊢
	: , : , :
33	instantiation	70, 45, 42	⊢
	: , : , :
34	instantiation	70, 45, 43	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
36	instantiation	70, 48, 44	,  ⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
39	instantiation	70, 45, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
41	instantiation	70, 48, 47	⊢
	: , : , :
42	instantiation	70, 48, 49	⊢
	: , : , :
43	instantiation	70, 50, 51	⊢
	: , : , :
44	instantiation	70, 53, 52	,  ⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
46	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
47	instantiation	70, 53, 60	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	70, 53, 63	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
52	instantiation	70, 54, 55	,  ⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	56, 57, 58	⊢
	: , :
55	assumption		⊢
56	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
57	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
58	instantiation	59, 60, 61	⊢
	: , :
59	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
60	instantiation	62, 63, 64	⊢
	: , :
61	instantiation	65, 66	⊢
	:
62	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
63	instantiation	70, 71, 67	⊢
	: , : , :
64	instantiation	70, 68, 69	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.negation.int_closure
66	instantiation	70, 71, 72	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
68	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
69	assumption		⊢
70	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat1