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	51	⊢
2	instantiation	18, 4	, ,  ⊢
	: , : , :
3	instantiation	5, 6, 7, 30, 8, 9, 10	, , , ,  ⊢
	: , : , :
4	instantiation	51, 11, 12	, ,  ⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.exponentiation.products_of_complex_powers
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
7	instantiation	13	⊢
	: , : , :
8	instantiation	41, 14, 15	⊢
	: , : , :
9	instantiation	67, 21, 22	, ,  ⊢
	: , :
10	instantiation	41, 16, 17	⊢
	: , : , :
11	instantiation	18, 19	,  ⊢
	: , : , :
12	instantiation	20, 30, 21, 22	, ,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	instantiation	67, 58, 23	⊢
	: , :
15	instantiation	51, 24, 25	⊢
	: , : , :
16	instantiation	67, 58, 26	⊢
	: , :
17	instantiation	51, 27, 28	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	29, 30, 32, 33	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.complex_power_of_complex_power
21	instantiation	31, 32, 33	,  ⊢
	: , :
22	instantiation	84, 74, 34	⊢
	: , : , :
23	instantiation	67, 64, 36	⊢
	: , :
24	instantiation	59, 57, 86, 60, 35, 61, 58, 64, 36	⊢
	: , : , : , : , : , :
25	instantiation	59, 60, 86, 61, 62, 35, 68, 69, 64, 36	⊢
	: , : , : , : , : , :
26	instantiation	67, 64, 38	⊢
	: , :
27	instantiation	59, 57, 86, 60, 37, 61, 58, 64, 38	⊢
	: , : , : , : , : , :
28	instantiation	59, 60, 86, 61, 62, 37, 68, 69, 64, 38	⊢
	: , : , : , : , : , :
29	theorem		⊢
	proveit.numbers.exponentiation.product_of_complex_powers
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
31	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
32	instantiation	41, 39, 40	⊢
	: , : , :
33	instantiation	41, 42, 43	⊢
	: , : , :
34	instantiation	84, 78, 44	⊢
	: , : , :
35	instantiation	70	⊢
	: , :
36	instantiation	84, 74, 45	⊢
	: , : , :
37	instantiation	70	⊢
	: , :
38	instantiation	84, 74, 46	⊢
	: , : , :
39	instantiation	67, 58, 47	⊢
	: , :
40	instantiation	51, 48, 49	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.equality.sub_right_side_into
42	instantiation	67, 58, 50	⊢
	: , :
43	instantiation	51, 52, 53	⊢
	: , : , :
44	instantiation	84, 82, 54	⊢
	: , : , :
45	assumption		⊢
46	assumption		⊢
47	instantiation	67, 64, 56	⊢
	: , :
48	instantiation	59, 57, 86, 60, 55, 61, 58, 64, 56	⊢
	: , : , : , : , : , :
49	instantiation	59, 60, 86, 61, 62, 55, 68, 69, 64, 56	⊢
	: , : , : , : , : , :
50	instantiation	67, 64, 65	⊢
	: , :
51	axiom		⊢
	proveit.logic.equality.equals_transitivity
52	instantiation	59, 57, 86, 60, 63, 61, 58, 64, 65	⊢
	: , : , : , : , : , :
53	instantiation	59, 60, 86, 61, 62, 63, 68, 69, 64, 65	⊢
	: , : , : , : , : , :
54	assumption		⊢
55	instantiation	70	⊢
	: , :
56	instantiation	84, 74, 66	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
58	instantiation	67, 68, 69	⊢
	: , :
59	theorem		⊢
	proveit.numbers.multiplication.disassociation
60	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
61	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
62	instantiation	70	⊢
	: , :
63	instantiation	70	⊢
	: , :
64	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
65	instantiation	84, 74, 71	⊢
	: , : , :
66	instantiation	84, 78, 72	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
68	instantiation	84, 74, 73	⊢
	: , : , :
69	instantiation	84, 74, 75	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
71	instantiation	84, 80, 76	⊢
	: , : , :
72	instantiation	84, 82, 77	⊢
	: , : , :
73	instantiation	84, 78, 79	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
75	instantiation	84, 80, 81	⊢
	: , : , :
76	assumption		⊢
77	assumption		⊢
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
79	instantiation	84, 82, 83	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
82	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
83	instantiation	84, 85, 86	⊢
	: , : , :
84	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
85	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
86	theorem		⊢
	proveit.numbers.numerals.decimals.nat2